3/16 as a Decimal

3/16 as a decimal expansion provides the detailed information about what is 3/16 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

3/16 as a Decimal Expansion
3/16 = 0.1875
Hence,
3/16 as a decimal equals to 0.1875
where,
3/16 is a given fraction,
The decimal expansion of 3/16 is 0.1875

3/16 as a Mixed Number
The given fraction 3/16 can't be represented as a mixed number since the numerator 3 of the given fraction is smaller than the denominator 16.

The below work with steps provide the detailed information about how to convert fraction 3/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 3/16

What to be found:
Find the decimal expansion of fraction 3/16.

step 2 The numerator is smaller than the denominator of the fraction 3/16, 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 3/16.
= 3/16 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 3/16 x 1/100
= 300/16 x 1/100

step 4 Simplify the above expression further:
= 300/16 x 1/100
= 288 + 12/16 x 1/100
= ( 288/16 + 12/16) x 1/100
= (18 + 12/16 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 12/16 in the above expression:
= (18 + 12/16 ) x 1/100
= (18 + 0.75) x 1/100

step 6 Simplify the above expression further:
= (18 + 0.75) x 1/100
= 18.75 x 1/100
= 18.75/100
3/16= 0.1875

Hence,
3/16 as a decimal is 0.1875