ISEE Lower Level Quiz: Decimal Fraction Conversion
20 questions · exam conditions
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Decimal Fraction ConversionQuestion 1 of 20

A new pen costs $1.50. The sales tax on the pen is $0.12. What fraction of a dollar is the sales tax, in simplest form?

112\frac{1}{12}
325\frac{3}{25}
1210\frac{12}{10}
215\frac{2}{15}
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ISEE Lower Level Quiz

ISEE Lower Level Quiz: Decimal Fraction Conversion

Practice Decimal Fraction Conversion in ISEE Lower Level with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Decimal Fraction Conversion, giving you a quick way to practice the rules, question types, and explanations that matter most for ISEE Lower Level.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

A new pen costs $1.50. The sales tax on the pen is $0.12. What fraction of a dollar is the sales tax, in simplest form?

  1. 112\frac{1}{12}
  2. 325\frac{3}{25} (correct answer)
  3. 1210\frac{12}{10}
  4. 215\frac{2}{15}
Explanation: The question asks for the fraction equivalent of the sales tax, which is $0.12. The cost of the pen, $1.50, is extra information. To convert 0.12 to a fraction, write it as 12100\frac{12}{100}. To simplify this fraction, divide both the numerator and denominator by their greatest common factor, 4. 12÷4=312 \div 4 = 3 and 100÷4=25100 \div 4 = 25. The simplified fraction is 325\frac{3}{25}.

Question 2

A length of rope is cut into two pieces. The first piece is 0.8 meters long. The second piece is 14\frac{1}{4} meter shorter than the first piece. What is the length of the second piece, expressed as a fraction of a meter?

  1. 35\frac{3}{5} m
  2. 45\frac{4}{5} m
  3. 1120\frac{11}{20} m (correct answer)
  4. 2120\frac{21}{20} m
Explanation: First, convert the length of the first piece to a fraction. The decimal 0.8 is equal to 810\frac{8}{10}, which simplifies to 45\frac{4}{5}. The second piece is 14\frac{1}{4} meter shorter, so we need to subtract: 45−14\frac{4}{5} - \frac{1}{4}. To do this, find a common denominator, which is 20. 45=1620\frac{4}{5} = \frac{16}{20} and 14=520\frac{1}{4} = \frac{5}{20}. Now subtract: 1620−520=1120\frac{16}{20} - \frac{5}{20} = \frac{11}{20}. The length of the second piece is 1120\frac{11}{20} meters.

Question 3

Three friends compare how far they live from school. Aiden lives 0.6 miles away. Bella lives 34\frac{3}{4} of a mile away. Carlos lives 58\frac{5}{8} of a mile away. Which statement correctly compares their distances?

  1. Aiden lives farthest from school.
  2. Bella lives farthest from school. (correct answer)
  3. Carlos lives closer than Aiden.
  4. Aiden and Carlos live the same distance away.
Explanation: To compare the distances, convert all values to decimals. Aiden's distance is 0.6 miles. Bella's distance is 34\frac{3}{4}, which is 3÷4=0.753 \div 4 = 0.75 miles. Carlos's distance is 58\frac{5}{8}, which is 5÷8=0.6255 \div 8 = 0.625 miles. Comparing the decimals: 0.6, 0.75, and 0.625. The greatest value is 0.75, so Bella lives farthest from school.

Question 4

Noah poured 12\dfrac{1}{2} cup of water. What decimal is 12\dfrac{1}{2}?​

  1. 0.050.05
  2. 0.200.20
  3. 0.500.50 (correct answer)
  4. 0.250.25
Explanation: This question tests the ability to convert between decimals and fractions, a key skill in ISEE Lower Level Mathematics Achievement. Converting between decimals and fractions involves understanding place value and equivalent values; for example, 0.5 is equivalent to 1/2 because it represents half. In the given scenario, Noah poured 1/2 cup of water, and we need to find the decimal equivalent of 1/2. The correct answer is 0.50 (or 0.5) because when we divide 1 by 2, we get 0.5, which represents half or 50 hundredths. A common distractor might be 0.25, which is 1/4 not 1/2, or 0.20 which is 1/5, showing confusion with common fraction values. To help students: Remember that 1/2 means one divided by two, which equals 0.5 or 0.50. Use visual aids like a circle cut in half to reinforce that 1/2 = 0.5 = 50%.

Question 5

Leila saved 0.400.40 of her money. Convert 0.400.40 to a fraction.

  1. 410\dfrac{4}{10}
  2. 25\dfrac{2}{5} (correct answer)
  3. 14\dfrac{1}{4}
  4. 401\dfrac{40}{1}
Explanation: This question tests the ability to convert between decimals and fractions, a key skill in ISEE Lower Level Mathematics Achievement. Converting between decimals and fractions involves understanding place value and equivalent values; for example, 0.5 is equivalent to 1/2 because it represents half. In the given scenario, Leila saved 0.40 of her money, and we need to convert 0.40 to a fraction. The correct answer is 2/5 because 0.40 means 40 hundredths, which can be written as 40/100, and when simplified by dividing both parts by 20, we get 2/5. A common distractor might be 4/10, which is equivalent but not in simplest form, or 1/4 which equals 0.25, not 0.40. To help students: Always simplify fractions to lowest terms by finding the greatest common factor. Practice checking your work by converting the fraction back to a decimal: 2/5 = 2 ÷ 5 = 0.40.

Question 6

Ethan hit 14\dfrac{1}{4} of his shots. What decimal is 14\dfrac{1}{4}?

  1. 0.400.40
  2. 0.100.10
  3. 0.750.75
  4. 0.250.25 (correct answer)
Explanation: This question tests the ability to convert between decimals and fractions, a key skill in ISEE Lower Level Mathematics Achievement. Converting between decimals and fractions involves understanding place value and equivalent values; for example, 0.5 is equivalent to 1/2 because it represents half. In the given scenario, Ethan hit 1/4 of his shots, and we need to find the decimal equivalent of 1/4. The correct answer is 0.25 because when we divide 1 by 4, we get 0.25, or we can think of it as 1/4 = 25/100 = 0.25. A common distractor might be 0.40, which is 2/5 not 1/4, or 0.10 which is 1/10, showing confusion with fraction values. To help students: Remember that 1/4 is one quarter, like a quarter dollar worth $0.25. Practice dividing 1 by 4 using long division or recognizing that 1/4 = 25/100 = 0.25.

Question 7

A fuel tank was full at the start of a trip. After several hours of driving, 0.65 of the fuel had been used. What fraction of the fuel tank was left?

  1. 1320\frac{13}{20}
  2. 720\frac{7}{20} (correct answer)
  3. 13\frac{1}{3}
  4. 6510\frac{65}{10}
Explanation: If the tank was full (1 whole) and 0.65 was used, the amount left is 1−0.65=0.351 - 0.65 = 0.35. The question asks for this amount as a fraction. The decimal 0.35 is thirty-five hundredths, or 35100\frac{35}{100}. To simplify this fraction, divide the numerator and denominator by their greatest common factor, 5. 35÷5=735 \div 5 = 7 and 100÷5=20100 \div 5 = 20. The fraction of the tank that was left is 720\frac{7}{20}.

Question 8

Which of the following decimal values is equal to the fraction 58\frac{5}{8}?

  1. 0.58
  2. 0.6
  3. 0.625 (correct answer)
  4. 0.85
Explanation: To convert a fraction to a decimal, divide the numerator by the denominator. So, divide 5 by 8. Since 5 is smaller than 8, you'll be working with decimals. 5÷8=0.6255 \div 8 = 0.625.

Question 9

A video game takes 3.4 hours to complete. Which mixed number is equivalent to 3.4?

  1. 3143\frac{1}{4}
  2. 341003\frac{4}{100}
  3. 3253\frac{2}{5} (correct answer)
  4. 3123\frac{1}{2}
Explanation: The number 3.4 is composed of a whole number part (3) and a decimal part (0.4). The decimal 0.4 means four-tenths, which can be written as the fraction 410\frac{4}{10}. This fraction can be simplified by dividing the numerator and denominator by 2, which gives 25\frac{2}{5}. Combining the whole number and the simplified fraction gives the mixed number 3253\frac{2}{5}.

Question 10

The fraction 725\frac{7}{25} is equal to which decimal?

  1. 0.07
  2. 0.28 (correct answer)
  3. 0.35
  4. 0.7
Explanation: To convert 725\frac{7}{25} to a decimal, you can find an equivalent fraction with a denominator that is a power of 10, such as 100. To get from 25 to 100, you multiply by 4. Multiply the numerator by 4 as well: 7×4=287 \times 4 = 28. The equivalent fraction is 28100\frac{28}{100}, which is written as the decimal 0.28. Alternatively, you can divide 7 by 25.

Question 11

A carpenter has a piece of wood that is 2.5 feet long. He uses a piece that is 2382\frac{3}{8} feet long for a project. How much wood will he have left over, expressed as a fraction of a foot?

  1. 18\frac{1}{8} foot (correct answer)
  2. 14\frac{1}{4} foot
  3. 12\frac{1}{2} foot
  4. 58\frac{5}{8} foot
Explanation: First, convert 2.5 feet to a mixed number. The decimal 0.5 is equivalent to the fraction 12\frac{1}{2}, so 2.5 is 2122\frac{1}{2} feet. To subtract 2382\frac{3}{8} from 2122\frac{1}{2}, find a common denominator. 2122\frac{1}{2} is equivalent to 2482\frac{4}{8}. Now subtract: 248−238=182\frac{4}{8} - 2\frac{3}{8} = \frac{1}{8}. The carpenter will have 18\frac{1}{8} foot of wood left over.

Question 12

Find the value that is halfway between 0.1 and 25\frac{2}{5}. Express your answer as a fraction.

  1. 14\frac{1}{4} (correct answer)
  2. 310\frac{3}{10}
  3. 15\frac{1}{5}
  4. 12\frac{1}{2}
Explanation: To find the value halfway between two numbers, first express them in the same format. Convert 25\frac{2}{5} to a decimal: 2÷5=0.42 \div 5 = 0.4. Now find the average of 0.1 and 0.4 by adding them and dividing by 2: (0.1+0.4)÷2=0.5÷2=0.25(0.1 + 0.4) \div 2 = 0.5 \div 2 = 0.25. Finally, convert the result, 0.25, back to a fraction. The decimal 0.25 is equivalent to 25100\frac{25}{100}, which simplifies to 14\frac{1}{4}.

Question 13

Mina made 34\dfrac{3}{4} of her free throws. What decimal is 34\dfrac{3}{4}?

  1. 0.340.34
  2. 0.700.70
  3. 0.750.75 (correct answer)
  4. 0.800.80
Explanation: This question tests the ability to convert between decimals and fractions, a key skill in ISEE Lower Level Mathematics Achievement. Converting between decimals and fractions involves understanding place value and equivalent values; for example, 0.5 is equivalent to 1/2 because it represents half. In the given scenario, Mina made 3/4 of her free throws, and we need to find the decimal equivalent of 3/4. The correct answer is 0.75 because when we divide 3 by 4, we get 0.75, or we can think of it as 3/4 = 75/100 = 0.75. A common distractor might be 0.34, which incorrectly combines the digits 3 and 4 without performing division, or 0.80 which represents 4/5, not 3/4. To help students: Practice dividing the numerator by the denominator using long division or a calculator to convert fractions to decimals. Remember that 3/4 means 3 divided by 4, which equals 0.75.

Question 14

Aisha used a coupon for $0.50 off. Which fraction equals $0.50?

  1. 120\dfrac{1}{20}
  2. 12\dfrac{1}{2} (correct answer)
  3. 25\dfrac{2}{5}
  4. 35\dfrac{3}{5}
Explanation: This question tests the ability to convert between decimals and fractions, a key skill in ISEE Lower Level Mathematics Achievement. Converting between decimals and fractions involves understanding place value and equivalent values; for example, 0.5 is equivalent to 1/2 because it represents half. In the given scenario, Aisha used a coupon for $0.50 off, and we need to find the fraction that equals 0.50. The correct answer is 1/2 because 0.50 means 50 hundredths, which simplifies to 50/100 = 1/2 when we divide both numerator and denominator by 50. A common distractor might be 1/20, which represents 0.05, not 0.50, showing confusion with decimal place values. To help students: Practice converting decimals with zeros by first writing them as fractions over powers of 10, then simplifying. Remember that 0.50 = 0.5, and think of common benchmark fractions like 1/2, 1/4, and 3/4.

Question 15

Sofia had 0.750.75 off using a coupon. What fraction equals 0.750.75?

  1. 35\dfrac{3}{5}
  2. 68\dfrac{6}{8}
  3. 34\dfrac{3}{4} (correct answer)
  4. 751\dfrac{75}{1}
Explanation: This question tests the ability to convert between decimals and fractions, a key skill in ISEE Lower Level Mathematics Achievement. Converting between decimals and fractions involves understanding place value and equivalent values; for example, 0.5 is equivalent to 1/2 because it represents half. In the given scenario, Sofia had $0.75 off using a coupon, and we need to find the fraction that equals 0.75. The correct answer is 3/4 because 0.75 means 75 hundredths, which can be written as 75/100, and when simplified by dividing both parts by 25, we get 3/4. A common distractor might be 3/5, which equals 0.60 not 0.75, or 6/8 which is equivalent to 3/4 but not in simplest form. To help students: Remember that 0.75 is three-quarters (like three quarter dollars), and always simplify fractions to their lowest terms. Practice recognizing that 0.75 = 75/100 = 3/4.

Question 16

A bag contains 50 marbles. The probability of drawing a blue marble is 0.3. What fraction of the marbles in the bag are blue?

  1. 3100\frac{3}{100}
  2. 13\frac{1}{3}
  3. 310\frac{3}{10} (correct answer)
  4. 350\frac{3}{50}
Explanation: The question asks for the fractional equivalent of the probability 0.3. The total number of marbles, 50, is extra information. The decimal 0.3 means three-tenths, which is written as the fraction 310\frac{3}{10}. This fraction is already in simplest form.

Question 17

Diego measured 0.250.25 cups of milk. Convert 0.250.25 to a fraction.

  1. 14\dfrac{1}{4} (correct answer)
  2. 125\dfrac{1}{25}
  3. 2510\dfrac{25}{10}
  4. 25\dfrac{2}{5}
Explanation: This question tests the ability to convert between decimals and fractions, a key skill in ISEE Lower Level Mathematics Achievement. Converting between decimals and fractions involves understanding place value and equivalent values; for example, 0.5 is equivalent to 1/2 because it represents half. In the given scenario, Diego measured 0.25 cups of milk, and we need to convert 0.25 to a fraction. The correct answer is 1/4 because 0.25 means 25 hundredths, which can be written as 25/100, and when simplified by dividing both parts by 25, we get 1/4. A common distractor might be 1/25, which incorrectly uses the decimal digits without considering place value, or 2/5 which equals 0.40, not 0.25. To help students: Remember that 0.25 is a quarter (like a quarter dollar), and practice recognizing common decimal-fraction pairs. Use visual models like pie charts divided into fourths to reinforce that 1/4 = 0.25.

Question 18

A plant grew 1.8 inches one week and 1341\frac{3}{4} inches the next week. What was the total growth of the plant over the two weeks, expressed as a mixed number?

  1. 2792\frac{7}{9}
  2. 3123\frac{1}{2}
  3. 3353\frac{3}{5}
  4. 311203\frac{11}{20} (correct answer)
Explanation: To find the total growth, you need to add 1.8 and 1341\frac{3}{4}. First, convert 1.8 to a mixed number. The decimal 0.8 is 810\frac{8}{10}, which simplifies to 45\frac{4}{5}. So, 1.8 is 1451\frac{4}{5}. Now add 1451\frac{4}{5} and 1341\frac{3}{4}. Find a common denominator, which is 20. 145=116201\frac{4}{5} = 1\frac{16}{20} and 134=115201\frac{3}{4} = 1\frac{15}{20}. Add them: 11620+11520=231201\frac{16}{20} + 1\frac{15}{20} = 2\frac{31}{20}. Since 3120\frac{31}{20} is an improper fraction, convert it to a mixed number: 111201\frac{11}{20}. Add this to the whole number 2: 2+11120=311202 + 1\frac{11}{20} = 3\frac{11}{20}.

Question 19

In a class survey, 0.15 of the students chose red as their favorite color. What fraction of the students, in simplest form, chose red?

  1. 1510\frac{15}{10}
  2. 15\frac{1}{5}
  3. 320\frac{3}{20} (correct answer)
  4. 35\frac{3}{5}
Explanation: The decimal 0.15 represents fifteen-hundredths. As a fraction, this is written 15100\frac{15}{100}. To simplify, find the greatest common factor of 15 and 100, which is 5. Divide both the numerator and the denominator by 5: 15÷5=315 \div 5 = 3 and 100÷5=20100 \div 5 = 20. The simplified fraction is 320\frac{3}{20}.

Question 20

A ribbon is 0.7 meters long. A piece measuring 35\frac{3}{5} of a meter is cut from it. What is the length of the remaining ribbon, expressed as a fraction of a meter?

  1. 110\frac{1}{10} (correct answer)
  2. 15\frac{1}{5}
  3. 25\frac{2}{5}
  4. 45\frac{4}{5}
Explanation: First, convert both lengths to fractions with a common denominator. The decimal 0.7 is equivalent to 710\frac{7}{10}. The fraction 35\frac{3}{5} is equivalent to 610\frac{6}{10}. To find the length of the remaining ribbon, subtract the cut piece from the original length: 710−610=110\frac{7}{10} - \frac{6}{10} = \frac{1}{10}. The remaining ribbon is 110\frac{1}{10} of a meter long.