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

## Example Questions

### Example Question #51 : Fractions

Randy is driving to see his mother, who lives sixty miles away on a farm. What percentage of his journey has he completed after driving twelve miles?

Explanation:

The proportion of Randy's trip that he completes after driving  miles of the total  miles he must travel is equal to:

is equal to . Therefore,  is the correct answer.

### Example Question #52 : Fractions

Which fraction is closest to ?

Explanation:

In order to find the fraction that is closest to , the key is to find the fraction with the largest denominator, such that the numerator is closest to being half of the denominator. Of the answer choices, 15 is the largest denominator, and 7 is closest to being half of 15. (7.5 is exactly half of 15.) Thus, the correct answer is

### Example Question #53 : Fractions

What is the value of the below expression?

Explanation:

In order to multiply two fractions, the numerators should be multiplied by each other, and then the denominators should be multiplied by each other.

This results in:

### Example Question #54 : Fractions

What is the decimal equivalent of ?

Explanation:

In order to find the decimal equivalent of , convert it to . Given that 100 is 4 times greater than 25, it follows that x will be 4 times greater than 6. This gives us

.

The decimal equivalent is .24, which is the correct answer.

### Example Question #55 : Fractions

Which fraction is equivalent to .9?

Explanation:

Given that .9 is equal to , we must find a fraction that is equivalent to this.

### Example Question #51 : How To Find The Decimal Equivalent Of A Fraction

Steve buys a house for $500,000. His mother gives him 20 percent of the price to help him buy it. How much did Steve's mother give him? Possible Answers: 50,000 dollars 100,000 dollars 20,000 dollars 10,000 dollars Correct answer: 100,000 dollars Explanation: If Steve's mother gave him 20 percent of the$500,000 house price, then she gave him the value of .2 times $500.000. This is equal to$100,000, which is the correct answer.

### Example Question #57 : Fractions

There are 10 puppies in a litter. 7 of the puppies got adopted. What value of the litter has not yet been adopted?

Explanation:

The value of the litter as a whole is 1. Since there are 10 puppies, each puppy has a value of .1. Because 7 puppies were adopted, .7 of the litter was adopted, leaving a remaining value of .3 of the litter not adopted. Thus, .3 is the correct answer.

### Example Question #51 : Fractions

Which of the decimals below is equal to ?

Explanation:

Turn a fraction into a decimal by dividing the top number by the bottom number—so, the top number goes inside the division sign and the bottom number goes outside it.  divided by  is , which is the correct answer.

### Example Question #51 : How To Find The Decimal Equivalent Of A Fraction

Find the decimal equivalent to:

Explanation:

To find the decimal equivalent of  divide the numerator by the denominator:

Note: notice how the decimal place has moved three place values to the left from  to

Additionally, if a fraction has a base of  or  the ones place value of the numerator must be written in the place value that represents the name of the fraction. For example, in this problem there is a  in the ones place value in the numerator and thus the first  is written in the thousandths place for the corresponding decimal number.

### Example Question #52 : How To Find The Decimal Equivalent Of A Fraction

Find the decimal equivalent to: