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

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Example Questions

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Example Question #431 : Numbers And Operations

Express the fraction $\frac{4}{20}$ as a decimal.

Possible Answers:

Correct answer:

Explanation:

To convert a fraction into a decimal, divide the numerator (top number) by the denominator (bottom number).

$4\div20=.2$

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Example Question #31 : How To Find The Decimal Equivalent Of A Fraction

Write $\frac{3}{4}$ as a decimal.

Possible Answers:

$\dpi{100} .34$

$\dpi{100} .075$

$\dpi{100} .75$

$\dpi{100} 7.5$

Correct answer:

$\dpi{100} .75$

Explanation:

$\dpi{100} \frac{3}{4}$ multiply the top and bottom by to get $\dpi{100} \frac{75}{100}$ which equals 0.75

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Example Question #33 : Fractions

Write as a fraction in lowest terms: 0.72

Possible Answers:

$\frac{18}{25}$

$\frac{13}{25}$

$\frac{17}{25}$

$\frac{16}{25}$

$\frac{14}{25}$

Correct answer:

$\frac{18}{25}$

Explanation:

0.72 is hundredths, so write it as a fraction: $0.72 = \frac{72}{100}$

GCF (72,100) = 4 , so simplify by dividing nuerator and denominator by .

$0.72 = \frac{72}{100} = \frac{72 \div 4}{100 \div 4} = \frac{18}{25}$

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Example Question #34 : Fractions

Which fraction is equivalent to 0.6 ?

Possible Answers:

$\frac{8}{10}$

$\frac{2}{3}$

$\frac{}{}$ $\frac{1}{6}$

$\frac{4}{7}$

$\frac{3}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

We can convert 0.6 to a fraction by recognizing that this number is also known as "six-tenths." As a fraction, six-tenths would be written as six over ten.

$0.6=\frac{6}{10}$

Simplify the fraction by removing the greatest common factor.

$\frac{6}{10}=\frac{6\div2}{10\div2}=\frac{3}{5}$

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Example Question #35 : Fractions

What is the decimal equivalent of $\frac{24}{60}$ ?

Possible Answers:

0.40

0.24

0.84

0.60

0.15

Correct answer:

0.40

Explanation:

To solve, divide:

$24\div 60=0.40$

Another way to solve is to reduce the fraction by removing a common factor.

$\frac{24}{60}=\frac{24\div6}{60\div6}=\frac{4}{10}$

Four over ten, or four-tenths, is equal to 0.40 .

Answer: 0.40

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Example Question #36 : Fractions

What is the decimal equivalent of $\frac{36}{90}$ ?

Possible Answers:

0.40

0.45

0.30

0.36

0.55

Correct answer:

0.40

Explanation:

To solve, divide:

$36\div 90=0.40$

Another way to solve is to reduce the fraction by removing a common factor.

$\frac{36}{90}=\frac{36\div9}{90\div9}=\frac{4}{10}$

Four over ten, or four-tenths, is equal to 0.40 .

Answer: 0.40

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Example Question #31 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of $\frac{49}{98}$ ?

Possible Answers:

0.85

0.49

0.98

0.45

0.50

Correct answer:

0.50

Explanation:

To solve, divide:

$49\div 98=0.50$

Another way to solve is to reduce the fraction by removing a common factor.

$\frac{49}{98}=\frac{49\div49}{98\div49}=\frac{1}{2}$

One-half is equal to 0.50 .

Answer: 0.50

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Example Question #38 : Fractions

What fraction is equivalent to 1.75?

Possible Answers:

$\frac{75}{100}$

$\frac{4}{7}$

$\frac{175}{4}$

$\frac{11}{4}$

$\frac{7}{4}$

Correct answer:

$\frac{7}{4}$

Explanation:

We can start by converting the decimal to a mixed number. Based on place value, we know that:

$1.75=1\frac{75}{100}$

We can reduce the fraction by removing a common factor.

$\frac{75}{100}=\frac{75\div25}{100\div25}=\frac{3}{4}$

$1\frac{75}{100}=1\frac{3}{4}$

Now we need to convert the mixed number to a fraction.

$1\frac{3}{4}=1+\frac{3}{4}=\frac{4}{4}+\frac{3}{4}=\frac{7}{4}$

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Example Question #39 : Fractions

There were 20 puppies at the pound, and 5 were brown. What is the decimal value of the puppies that were brown?

Possible Answers:

0.25

0.20

None of these

0.50

0.40

Correct answer:

0.25

Explanation:

First, find the fraction of puppies that are brown.

$\frac{\text{brown}}{\text{total}}=\frac{5}{20}$

Reduce the fraction by removing a common factor.

$\frac{5}{20}=\frac{5\div5}{20\div5}=\frac{1}{4}$

The decimal equivalent of $\frac{1}{4}$ is 0.25 , which is therefore the correct answer.

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Example Question #40 : Fractions

What is the decimal equivalent of $\frac{9}{12}$ ?

Possible Answers:

0.90

0.65

0.75

0.80

0.70

Correct answer:

0.75

Explanation:

$\frac{9}{12}$ can be reduced to $\frac{3}{4}$ .

$\frac{9}{12}=\frac{9\div3}{12\div3}=\frac{3}4{}$

To find the decimal equivalent, convert the fraction so that the denominator is equal to 100.

$\frac{3}{4}=\frac{3\times25}{4\times25}=\frac{75}{100}$

75 over 100, or seventy-five hundredths, is equal to 0.75 .

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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 #431 : Numbers And Operations

Example Question #31 : How To Find The Decimal Equivalent Of A Fraction

Example Question #33 : Fractions

Example Question #34 : Fractions

Example Question #35 : Fractions

Example Question #36 : Fractions

Example Question #31 : How To Find The Decimal Equivalent Of A Fraction

Example Question #38 : Fractions

Example Question #39 : Fractions

Example Question #40 : Fractions

All ISEE Lower Level Math Resources

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