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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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All ISEE Lower Level Math Resources

10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

tenths

ones

hundredths

ten thousandths

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

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Example Question #1 : Fractions

What is 75% written as a fraction?

Possible Answers:

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

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

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

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

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

Correct answer:

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

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

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

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Example Question #3 : Fractions

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

Possible Answers:

hundredths

tenths

millionths

ten thousandths

thousandths

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.

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Example Question #1 : Fractions

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

$\frac{5}{8}$ $\displaystyle \frac{5}{8}$

Possible Answers:

1.6%

16%

63%

13%

62%

Correct answer:

63%

Explanation:

Divide $\frac{5}{8}=0.625$ $\displaystyle \frac{5}{8}=0.625$

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

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Example Question #1 : Fractions

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:

$\displaystyle 5$

$\displaystyle 20$

$\displaystyle 75$

$\displaystyle 7$

$\displaystyle 25$

Correct answer:

$\displaystyle 25$

Explanation:

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

$\frac{7}{28}=\frac{1}{4}$ $\displaystyle \frac{7}{28}=\frac{1}{4}$ or 25%.

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

Which number is largest?

Possible Answers:

$\displaystyle .0001$

$\displaystyle .009$

$\displaystyle .01$

$\displaystyle .8$

$\displaystyle .9$

Correct answer:

$\displaystyle .9$

Explanation:

Thinking about these numbers as fractions, we have

$\frac{9}{10}$ $\displaystyle \frac{9}{10}$ , $\frac{8}{10}$ $\displaystyle \frac{8}{10}$ , $\frac{1}{100}$ $\displaystyle \frac{1}{100}$ , $\frac{1}{10,000}$ $\displaystyle \frac{1}{10,000}$ , and $\frac{9}{1000}$ $\displaystyle \frac{9}{1000}$ .

The larger the number in the denominator is, the smaller the value of the total fraction. However, between $\frac{8}{10}$ $\displaystyle \frac{8}{10}$ and $\frac{9}{10}$ $\displaystyle \frac{9}{10}$ , the larger numerator is the bigger number. Therefore, the correct answer is .9.

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Example Question #7 : Fractions

Show $\small 0.5$ $\displaystyle \small 0.5$ as a fraction.

Possible Answers:

$\small \frac{3}{4}$ $\displaystyle \small \frac{3}{4}$

$\small \frac{1}{2}$ $\displaystyle \small \frac{1}{2}$

$\small \frac{1}{3}$ $\displaystyle \small \frac{1}{3}$

$\small \frac{1}{4}$ $\displaystyle \small \frac{1}{4}$

$\small \frac{2}{8}$ $\displaystyle \small \frac{2}{8}$

Correct answer:

$\small \frac{1}{2}$ $\displaystyle \small \frac{1}{2}$

Explanation:

First we rewrite $\small 0.5$ $\displaystyle \small 0.5$ as a fraction. Since $\small 5$ $\displaystyle \small 5$ is in the tenths place, we can write it over $\small 10.$ $\displaystyle \small 10.$

$\small \frac{5}{10}$ $\displaystyle \small \frac{5}{10}$

This can be simplified by dividing the top and bottom number by $\small 5$ $\displaystyle \small 5$ .

$\small \frac{\left ( 5\div 5 \right )}{\left ( 10\div 5 \right )}$ $\displaystyle \small \frac{\left ( 5\div 5 \right )}{\left ( 10\div 5 \right )}$ $\small = \frac{1}{2}$ $\displaystyle \small = \frac{1}{2}$

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Example Question #3 : Fractions

Write as a decimal:

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$

Possible Answers:

0.4 $\displaystyle 0.4$

0.7 $\displaystyle 0.7$

0.6 $\displaystyle 0.6$

0.3 $\displaystyle 0.3$

0.5 $\displaystyle 0.5$

Correct answer:

0.6 $\displaystyle 0.6$

Explanation:

$3\div 5= 0.6$ $\displaystyle 3\div 5= 0.6$ , making this the decimal equivalent.

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Example Question #4 : Fractions

What is the sum of 4.7 and 2.5?

Possible Answers:

$7\frac{2}{5}$ $\displaystyle 7\frac{2}{5}$

$6\frac{4}{5}$ $\displaystyle 6\frac{4}{5}$

$6\frac{1}{5}$ $\displaystyle 6\frac{1}{5}$

$7\frac{1}{5}$ $\displaystyle 7\frac{1}{5}$

Correct answer:

$7\frac{1}{5}$ $\displaystyle 7\frac{1}{5}$

Explanation:

4.7 and 2.5 add up to 7.2.

0.2 is equal to $\frac{1}{5}$ $\displaystyle \frac{1}{5}$ , so the correct answer is $7\frac{1}{5}$ $\displaystyle 7\frac{1}{5}$ .

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Example Question #5 : Fractions

Write 0.2 $\displaystyle 0.2$ as a fraction.

Possible Answers:

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$

$\frac{2}{9}$ $\displaystyle \frac{2}{9}$

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$

Correct answer:

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$

Explanation:

Rewrite 0.2 $\displaystyle 0.2$ as $\frac{2}{10}$ $\displaystyle \frac{2}{10}$ .

Reduce the fraction:

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$

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

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

All ISEE Lower Level Math Resources

Example Questions

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

Example Question #1 : Fractions

Example Question #3 : Fractions

Example Question #1 : Fractions

Example Question #1 : Fractions

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

Example Question #7 : Fractions

Example Question #3 : Fractions

Example Question #4 : Fractions

Example Question #5 : Fractions

All ISEE Lower Level Math Resources

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