3/13 as a Decimal

3/13 as a decimal expansion provides the detailed information about what is 3/13 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

3/13 as a Decimal Expansion
3/13 = 0.2308
Hence,
3/13 as a decimal equals to 0.2308
where,
3/13 is a given fraction,
The decimal expansion of 3/13 is 0.2308

3/13 as a Mixed Number
The given fraction 3/13 can't be represented as a mixed number since the numerator 3 of the given fraction is smaller than the denominator 13.

The below work with steps provide the detailed information about how to convert fraction 3/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 3/13

What to be found:
Find the decimal expansion of fraction 3/13.

step 2 The numerator is smaller than the denominator of the fraction 3/13, 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 3/13.
= 3/13 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 3/13 x 1/100
= 300/13 x 1/100

step 4 Simplify the above expression further:
= 300/13 x 1/100
= 299 + 1/13 x 1/100
= ( 299/13 + 1/13) x 1/100
= (23 + 1/13 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 1/13 in the above expression:
= (23 + 1/13 ) x 1/100
= (23 + 0.077) x 1/100

step 6 Simplify the above expression further:
= (23 + 0.077) x 1/100
= 23.077 x 1/100
= 23.077/100
3/13= 0.23077

Hence,
3/13 as a decimal is 0.23077