15/16 as a Decimal

15/16 as a decimal expansion provides the detailed information about what is 15/16 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

15/16 as a Decimal Expansion
15/16 = 0.9375
Hence,
15/16 as a decimal equals to 0.9375
where,
15/16 is a given fraction,
The decimal expansion of 15/16 is 0.9375

15/16 as a Mixed Number
The given fraction 15/16 can't be represented as a mixed number since the numerator 15 of the given fraction is smaller than the denominator 16.

The below work with steps provide the detailed information about how to convert fraction 15/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 15/16

What to be found:
Find the decimal expansion of fraction 15/16.

step 2 The numerator is smaller than the denominator of the fraction 15/16, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 15/16.
= 15/16 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 15/16 x 1/10
= 150/16 x 1/10

step 4 Simplify the above expression further:
= 150/16 x 1/10
= 144 + 6/16 x 1/10
= ( 144/16 + 6/16) x 1/10
= (9 + 6/16 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 6/16 in the above expression:
= (9 + 6/16 ) x 1/10
= (9 + 0.375) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.375) x 1/10
= 9.375 x 1/10
= 9.375/10
15/16= 0.9375

Hence,
15/16 as a decimal is 0.9375