ISEE Lower Level Math : How to find the decimal equivalent of a fraction

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

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Example Question #1 : How To Find The Decimal Equivalent Of A Fraction

In the number 1,063.8042, what place value is the 2 in?

Possible Answers:

thousandths

ones

ten thousandths

hundredths

tenths

Correct answer:

ten thousandths

Explanation:

From left to right, let's begin with the numbers coming after (or to the right of) the decimal point. 

.8042

8 is in the tenths place

0 is in the hundredths place

4 is in the thousandths place

2 is in the ten thousandths place

Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

What is 75% written as a fraction?

Possible Answers:

\dpi{100} \small \frac{3}{4}

\dpi{100} \small \frac{1}{75}

\dpi{100} \small \frac{7}{5}

\dpi{100} \small \frac{5}{7}

\dpi{100} \small \frac{7}{8}

Correct answer:

\dpi{100} \small \frac{3}{4}

Explanation:

Let's rewrite 75% as a fraction.

All percents are written out of 100.

So 75% is

75/100.

This fraction can be simplified.

If we divide both the numerator and denominator by 25,

75 ÷ 25 = 3

100 ÷ 25 = 4

Our simplified fraction will be written as 

\dpi{100} \small \frac{3}{4}

Example Question #3 : How To Find The Decimal Equivalent Of A Fraction

In the number, 24,977.68001, what place is the 8 in?

Possible Answers:

hundredths

millionths

ten thousandths

thousandths

tenths

Correct answer:

hundredths

Explanation:

As you move away from the decimal point, the places grow from tenths on. Since the 8 is 2 places away from the decimal point, it is the hundredths.

Example Question #4 : How To Find The Decimal Equivalent Of A Fraction

Convert the fraction into a percent, rounded to the nearest whole number.

Possible Answers:

1.6%

16%

62%

13%

63%

Correct answer:

63%

Explanation:

Divide

Move the decimal two places to the right, 62.5%, then round up to the nearest whole number 63%.

Example Question #5 : How To Find The Decimal Equivalent Of A Fraction

Janie has a bag full of red, blue, orange, white, and green marbles. There are 5 of each color marble in the bag. 

Janie removes all 5 green marbles and all 5 red marbles, then adds 2 blue, 2 orange and 9 white marbles. What percentage of blue marbles are there now? 

Possible Answers:

Correct answer:

Explanation:

The adding and taking away leaves Janie with 7 blue marbles, 7 orange marbles and 14 white, and now 28 total marbles.

 or 25%.

Example Question #6 : How To Find The Decimal Equivalent Of A Fraction

Which number is largest?

Possible Answers:

Correct answer:

Explanation:

Thinking about these numbers as fractions, we have

, , , , and .

The larger the number in the denominator is, the smaller the value of the total fraction. However, between  and , the larger numerator is the bigger number. Therefore, the correct answer is .9.

Example Question #7 : How To Find The Decimal Equivalent Of A Fraction

Show  as a fraction.

 

Possible Answers:

Correct answer:

Explanation:

First we rewrite  as a fraction. Since  is in the tenths place, we can write it over

This can be simplified by dividing the top and bottom number by .

 

 

 

 

 

Example Question #8 : How To Find The Decimal Equivalent Of A Fraction

Write as a decimal:

Possible Answers:

Correct answer:

Explanation:

, making this the decimal equivalent.

Example Question #9 : How To Find The Decimal Equivalent Of A Fraction

What is the sum of 4.7 and 2.5?

Possible Answers:

Correct answer:

Explanation:

4.7 and 2.5 add up to 7.2.

0.2 is equal to , so the correct answer is .

Example Question #10 : How To Find The Decimal Equivalent Of A Fraction

Write  as a fraction.

Possible Answers:

Correct answer:

Explanation:

Rewrite as .

Reduce the fraction:

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