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

Example Question #41 : Fractions

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:

6 ounces

0.75 ounces

1.5 ounces

3.25 ounces

1.25 ounces

Correct answer:

1.5 ounces

Explanation:

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

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

Reduce the fraction.

Each piece of sandwich is 1.5 ounces.

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

Which fraction is betwen  and ?

 

Possible Answers:

Correct answer:

Explanation:

Given that  and  are both less than , and that  is greater than  , it follows that  is the only fraction between   and .  Thus,  is the correct answer. 

Example Question #43 : Fractions

What is the decimal equivalent of the fraction below?

Possible Answers:

Correct answer:

Explanation:

In order to find the decimal equivalent of the decimal equivalent of , the value of  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:

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

Example Question #44 : Fractions

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

This reduces to , which is .25 as a decimal.

Therefore, .25 is the correct answer. 

Example Question #45 : Fractions

What is  in its most reduced form?

Possible Answers:

Correct answer:

Explanation:

The key to reducing  is to acknowledge that the numerator and denominator can both be divided by 14. This results in , which is therefore the correct answer. 

Example Question #46 : Fractions

What is the decimal equivalent of ?

Possible Answers:

Correct answer:

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.

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

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

What is the decimal equivalent of ?

Possible Answers:

Correct answer:

Explanation:

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

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

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

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.

Possible Answers:

Correct answer:

Explanation:

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

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

Then, add in the whole number (2).

The decimal equivalent to   is  2.22.

Example Question #41 : Fractions

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:

Correct answer:

Explanation:

If 70 of the 200 students are on scholarship, then the fraction of students on scholarship is 

The decimal equivalent of  is .35, which is therefore the correct answer. 

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

What is the sum of the expression below?

Possible Answers:

Correct answer:

Explanation:

The first step is to convert the expression  to decimal form, given that the answer choices are in decimal form. 

Given that , the above expression can be rewritten as 

Therefore,  is the correct answer. 

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