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

Find the decimal equivalent to:

Possible Answers:

Correct answer:

Explanation:

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



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  is written in the hundredths place for the corresponding decimal number. 

NOTE:  is an improper fraction--which by definition means that the fraction represents a number larger than one whole. In this case,  is equivalent to 

Example Question #61 : Fractions

Find  written as a percent. 

Possible Answers:

 percent

 percent

 percent

 percent

 percent

Correct answer:

 percent

Explanation:

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



Then multiply the decimal number by a factor of :

 percent

Example Question #462 : Numbers And Operations

Find  written as a percent. 

Possible Answers:

 percent

 percent

 percent

 percent

 percent

Correct answer:

 percent

Explanation:

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



Then multiply the decimal number by a factor of :

 percent
NOTE: the original fraction  is an improper fraction. Thus, the corresponding percent must be greater than  percent. 

Example Question #62 : How To Find The Decimal Equivalent Of A Fraction

 out of  students failed a recent biology exam. What percentage of the class passed the exam? 

Possible Answers:

 percent

 percent

Not enough information is provided. 

 percent

 percent

Correct answer:

 percent

Explanation:

To solve this problem, first find the percentage of students that failed the exam. This can be found by representing the students that failed as a fraction of the whole, dividing that numerator by the denominator and then by multiplying the decimal number by a factor of :





 percent failed the exam. Therefore, the number of students that passed the exam must be the difference between  percent and  percent:

 percent


Example Question #463 : Numbers And Operations

Find  written as a percent. 

Possible Answers:

 percent

 percent

 percent

 percent

 percent

Correct answer:

 percent

Explanation:

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



Then multiply the decimal number by a factor of :

 percent

Example Question #63 : How To Find The Decimal Equivalent Of A Fraction

Find the decimal equivalent to:

Possible Answers:

Correct answer:

Explanation:

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



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  is written in the tenths place for the corresponding decimal number. 

NOTE:  is an improper fraction--which by definition means that the fraction represents a number larger than one whole. In this case,  is equivalent to 

Example Question #67 : Fractions

Find the decimal equivalent to:

Possible Answers:

Correct answer:

Explanation:

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



Note:  therefore  must be equal to  percent.

Example Question #64 : How To Find The Decimal Equivalent Of A Fraction

Ms. Dunn has  students in her history class.  of the students recieved an A+ on their last exam. What percentage of the class recieved an A+ on the exam? 

Possible Answers:

 percent

 percent

 percent

 percent

 percent

Correct answer:

 percent

Explanation:

To solve this problem, represent the number of students that scored an A+ as a fraction of the entire class. Next, divide that numerator by the denominator. Then multiply that decimal number by a factor of  to find the corresponding percent. 

The solution is:



 percent 

Example Question #61 : How To Find The Decimal Equivalent Of A Fraction

Find the decimal equivalent to:

Possible Answers:

Correct answer:

Explanation:

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


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  is written in the thousandths place for the corresponding decimal number. 

Note: . Thus,  must equal  percent. 

Example Question #66 : How To Find The Decimal Equivalent Of A Fraction

Find  written as a percent. 

Possible Answers:

 percent

 percent

 percent

 percent

 percent

Correct answer:

 percent

Explanation:

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



Then multiply the decimal number by a factor of :

 percent
NOTE: the original fraction  is an improper fraction. Thus, the corresponding percent must be greater than  percent. 

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