# 1/13 as a Decimal 1/13 as a decimal expansion provides the detailed information about what is 1/13 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

1/13 as a Decimal Expansion
1/13 = 0.0769
Hence,
1/13 as a decimal equals to 0.0769
where,
1/13 is a given fraction,
The decimal expansion of 1/13 is 0.0769

1/13 as a Mixed Number
The given fraction 1/13 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 13.

For values other than 1/13, use this below tool:

## How-to: 1/13 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 1/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 1/13

What to be found:
Find the decimal expansion of fraction 1/13.

step 2 The numerator is smaller than the denominator of the fraction 1/13, 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 1/13.
= 1/13 x 100/100

step 3 Rearrange the fraction as like the below:
= 100/13 x 1/100

step 4 Simplify the above expression further:
= 100/13 x 1/100
= 91 + 9/13 x 1/100
= ( 91/13 + 9/13) x 1/100
= (7 + 9/13 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 9/13 in the above expression:
= (7 + 9/13 ) x 1/100
= (7 + 0.692) x 1/100

step 6 Simplify the above expression further:
= (7 + 0.692) x 1/100
= 7.692 x 1/100
= 7.692/100
1/13= 0.07692

Hence,
1/13 as a decimal is 0.07692 