# 5/16 as a Decimal 5/16 as a decimal expansion provides the detailed information about what is 5/16 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

5/16 as a Decimal Expansion
5/16 = 0.3125
Hence,
5/16 as a decimal equals to 0.3125
where,
5/16 is a given fraction,
The decimal expansion of 5/16 is 0.3125

5/16 as a Mixed Number
The given fraction 5/16 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 16.

For values other than 5/16, use this below tool:

## How-to: 5/16 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 5/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/16

What to be found:
Find the decimal expansion of fraction 5/16.

step 2 The numerator is smaller than the denominator of the fraction 5/16, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 5/16.
= 5/16 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 5/16 x 1/100
= 500/16 x 1/100

step 4 Simplify the above expression further:
= 500/16 x 1/100
= 496 + 4/16 x 1/100
= ( 496/16 + 4/16) x 1/100
= (31 + 4/16 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 4/16 in the above expression:
= (31 + 4/16 ) x 1/100
= (31 + 0.25) x 1/100

step 6 Simplify the above expression further:
= (31 + 0.25) x 1/100
= 31.25 x 1/100
= 31.25/100
5/16= 0.3125

Hence,
5/16 as a decimal is 0.3125 