SSAT Elementary Level Math : How to find the decimal equivalent of a fraction

Study concepts, example questions & explanations for SSAT Elementary Level Math

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Example Questions

Example Question #181 : How To Find The Decimal Equivalent Of A Fraction

What is the equivalent decimal of this fraction?

 

Possible Answers:

Correct answer:

Explanation:

Two-tenths would be written with a 2 in the tenths place value spot.  

The numbers before the decimal would be represented with a zero, and all numbers beyond the two would also be zeros.

Another approach is to use long division as follows.

Since the two is inside the division sign, add a decimal and a zero in order to continue the division process.

From here, calculate how many times does ten go into twenty.

       

   

      

Therefore, 

Example Question #182 : How To Find The Decimal Equivalent Of A Fraction

Write this fraction as an equivalent decimal.

Possible Answers:

Correct answer:

Explanation:

The hundredths place is two place value spots to the right of the decimal.  

Those two place value spots must maintain the value of the number in the numerator. With that being said 0.23 would be your answer as the number written is still a twenty-three and it finishes in the hundredths place.

The numbers before the decimal would be represented with a zero, and all numbers beyond the two and three would also be zeros.

Another approach is to use long division as follows.

Since the twenty three is inside the division sign, add a decimal and a zero in order to continue the division process.

From here, calculate how many times does 100 go into 230.

        

     

        

    

Therefore, 

Example Question #181 : How To Find The Decimal Equivalent Of A Fraction

Find the equivalent decimal to the fraction below.

Possible Answers:

Correct answer:

Explanation:

The thousandths place value spot is three spots to the right of the decimal.  

You must maintain the value of the number in the numerator when placing your numerator in decimal form. With that being said the only way to maintain the value of the numerator would be to have a value of zero in the tenths place. Therefore, 0.075 would be the correct answer, as 75 is still the value of the number shown.

The numbers before the decimal would be represented with a zero, and all numbers beyond the seven and five would also be zeros.

Another approach is to use long division as follows.

Since the twenty three is inside the division sign, add a decimal and a zero in order to continue the division process.

From here, calculate how many times does 1000 go into 7500.

             

       

           

          

Therefore, 

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