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

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Example Question #41 : How To Find The Decimal Equivalent Of A Fraction

Mary has a sandwich containing 1 ounce of bread, 2 ounces of cheese, and 3 ounces of turkey. She cuts the sandwich into 4 pieces to share with her friends. How many ounces is Mary's piece of the sandwich?

Possible Answers:

0.75 ounces

1.25 ounces

6 ounces

3.25 ounces

1.5 ounces

Correct answer:

1.5 ounces

Explanation:

Let's start by finding the total mass of the sandwhich in ounces.

1+2+3=6

She cuts the sandwich into four pieces, so we will need to divide the total by 4.

$6\div4=\frac{6}{4}$

Reduce the fraction.

$\frac{6}{4}=\frac{6\div2}{4\div2}=\frac{3}{2}=1.5$

Each piece of sandwich is 1.5 ounces.

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Example Question #42 : Fractions

Which fraction is betwen $\frac{2}{3}$ and $\frac{7}{8}$ ?

Possible Answers:

$\frac{5}{8}$

$\frac{8}{9}$

$\frac{1}{2}$

$\frac{5}{6}$

Correct answer:

$\frac{5}{6}$

Explanation:

Given that $\frac{5}{8}$ and $\frac{1}{2}$ are both less than $\frac{2}{3}$ , and that $\frac{8}{9}$ is greater than $\frac{7}{8}$ , it follows that $\frac{5}{6}$ is the only fraction between $\frac{2}{3}$ and $\frac{7}{8}$ . Thus, $\frac{5}{6}$ is the correct answer.

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Example Question #42 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of the fraction below?

$\frac{41}{50}$

Possible Answers:

Correct answer:

Explanation:

In order to find the decimal equivalent of the decimal equivalent of $\frac{41}{50}$ , the value of $\frac{x}{100}$ must be found. Given that 100 is 2 times as great as 50, it follows that x will be 2 times as great as 41. This gives us:

$\frac{82}{100}$

The decimal equivalent of that fraction is .82, the correct answer.

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Example Question #42 : How To Find The Decimal Equivalent Of A Fraction

There are 20 apples in a crate. If 5 of the apples are red, then what fraction of the apples are red? Write your answer as a decimal.

Possible Answers:

Correct answer:

Explanation:

Since there are 5 red apples out of 20 apples, we can write the fraction of red apples as $\frac{5}{20}$ .

This reduces to $\frac{1}{4}$ , which is .25 as a decimal.

Therefore, .25 is the correct answer.

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Example Question #43 : How To Find The Decimal Equivalent Of A Fraction

What is $\frac{14}{56}$ in its most reduced form?

Possible Answers:

$\frac{2}{7}$

$\frac{7}{28}$

$\frac{1}{4}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{4}$

Explanation:

The key to reducing $\frac{14}{56}$ is to acknowledge that the numerator and denominator can both be divided by 14. This results in $\frac{1}{4}$ , which is therefore the correct answer.

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Example Question #44 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of $\frac{3}{4}$ ?

Possible Answers:

0.80

0.75

0.34

0.30

0.25

Correct answer:

0.75

Explanation:

To convert to a decimal, we will want to try and multiply such that the denominator of the fraction becomes equal to 100. In this case, we can multiply both the numerator and denominator by 25.

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

Seventy-five over one hundred is equal to seventy-five hundredths, or 0.75.

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Example Question #47 : Fractions

What is the decimal equivalent of $\frac{2}{8}$ ?

Possible Answers:

0.30

0.25

0.08

0.50

0.20

Correct answer:

0.25

Explanation:

We can start by reducing the initial fraction by removing a commonf actor from the numerator and denominator:

$\frac{2}{8}=\frac{2\div2}{8\div2}=\frac{1}{4}$

Next, multiply so that the denominator becomes equal to 100. In this case, we multiply the numerator and denominator by 25.

$\frac{1}{4}=\frac{1\times25}{4\times25}=\frac{25}{100}$

Twenty-five over one hundred, or twenty-five hundredths, is equal to 0.25.

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Example Question #41 : How To Find The Decimal Equivalent Of A Fraction

Find the decimal equivalent to the fraction. Round to the nearest hundredths place, if necessary.

$2\frac{2}{9}$

Possible Answers:

2.23

0.23

2.22

2.32

2.2

Correct answer:

2.22

Explanation:

When converting a mixed fraction to a decimal, start with the fraction and divide the numerator by the denominator.

$2\frac{2}{9}$

Divide 2 by 9. The quotient is 0.22222…. Round to the nearest hundredth: 0.22.

Then, add in the whole number (2).

2+0.22 =2.22

The decimal equivalent to $2\frac{2}{9}$ is 2.22.

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Example Question #45 : How To Find The Decimal Equivalent Of A Fraction

If there are 200 students in a class and 70 of them are on scholarship, what percentage of students are on scholarship? Write your answer as a decimal.

Possible Answers:

1.35

Correct answer:

Explanation:

If 70 of the 200 students are on scholarship, then the fraction of students on scholarship is $\frac{70}{200}=\frac{35}{100}$ .

The decimal equivalent of $\frac{35}{100}$ is .35, which is therefore the correct answer.

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Example Question #50 : Fractions

What is the sum of the expression below?

$\frac{1}{5}+0.6$

Possible Answers:

1.0

1.2

0.8

0.7

Correct answer:

0.8

Explanation:

The first step is to convert the expression $\frac{1}{5}+.6$ to decimal form, given that the answer choices are in decimal form.

Given that $\frac{1}{5}=\frac{2}{10}=0.2$ , the above expression can be rewritten as 0.2+0.6=0.8 .

Therefore, 0.8 is the correct answer.

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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 #41 : How To Find The Decimal Equivalent Of A Fraction

Example Question #42 : Fractions

Example Question #42 : How To Find The Decimal Equivalent Of A Fraction

Example Question #42 : How To Find The Decimal Equivalent Of A Fraction

Example Question #43 : How To Find The Decimal Equivalent Of A Fraction

Example Question #44 : How To Find The Decimal Equivalent Of A Fraction

Example Question #47 : Fractions

Example Question #41 : How To Find The Decimal Equivalent Of A Fraction

Example Question #45 : How To Find The Decimal Equivalent Of A Fraction

Example Question #50 : Fractions

All ISEE Lower Level Math Resources

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