Decimal-Fraction Conversion
Help Questions
ISEE Lower Level: Mathematics Achievement › Decimal-Fraction Conversion
Mina made $\dfrac{3}{4}$ of her free throws. What decimal is $\dfrac{3}{4}$?
$0.70$
$0.34$
$0.75$
$0.80$
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.
Leila saved $0.40$ of her money. Convert $0.40$ to a fraction.
$\dfrac{4}{10}$
$\dfrac{40}{1}$
$\dfrac{1}{4}$
$\dfrac{2}{5}$
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, 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.
Kai ran $0.60$ of a mile in practice. Convert $0.60$ to a fraction.
$\dfrac{6}{10}$
$\dfrac{1}{6}$
$\dfrac{3}{5}$
$\dfrac{60}{1}$
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, Kai ran 0.60 of a mile in practice, and we need to convert 0.60 to a fraction. The correct answer is 3/5 because 0.60 means 60 hundredths, which can be written as 60/100, and when simplified by dividing both parts by 20, we get 3/5. A common distractor might be 6/10, which is equivalent but not in simplest form, or 1/6 which equals approximately 0.167, not 0.60. To help students: Remember to always simplify fractions by finding the greatest common factor of the numerator and denominator. Practice verifying your answer by converting back: 3/5 = 3 ÷ 5 = 0.60.
Noah poured $\dfrac{1}{2}$ cup of water. What decimal is $\dfrac{1}{2}$?
$0.20$
$0.50$
$0.05$
$0.25$
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%.
Priya split $0.20$ of supplies equally. What fraction equals $0.20$?
$\dfrac{5}{1}$
$\dfrac{1}{20}$
$\dfrac{1}{5}$
$\dfrac{2}{10}$
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, Priya split 0.20 of supplies equally, and we need to find the fraction that equals 0.20. The correct answer is 1/5 because 0.20 means 20 hundredths, which can be written as 20/100, and when simplified by dividing both parts by 20, we get 1/5. A common distractor might be 2/10, which is equivalent but not in simplest form, or 1/20 which equals 0.05, not 0.20. To help students: Always reduce fractions to simplest form, and remember that 0.20 = 0.2 = 2/10 = 1/5. Practice recognizing that moving the decimal two places gives you the fraction over 100.
Aisha used a coupon for $0.50 off. Which fraction equals $0.50?
$\dfrac{3}{5}$
$\dfrac{2}{5}$
$\dfrac{1}{20}$
$\dfrac{1}{2}$
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.
Diego measured $0.25$ cups of milk. Convert $0.25$ to a fraction.
$\dfrac{1}{4}$
$\dfrac{25}{10}$
$\dfrac{1}{25}$
$\dfrac{2}{5}$
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.
Ethan hit $\dfrac{1}{4}$ of his shots. What decimal is $\dfrac{1}{4}$?
$0.10$
$0.25$
$0.40$
$0.75$
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.
Sofia had $0.75$ off using a coupon. What fraction equals $0.75$?
$\dfrac{75}{1}$
$\dfrac{3}{5}$
$\dfrac{6}{8}$
$\dfrac{3}{4}$
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.