1/77 as a Decimal

1/77 as a decimal expansion provides the detailed information about what is 1/77 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

1/77 as a Decimal
1/77 = 0.013
Hence,
1/77 as a decimal equals to 0.013
where,
1/77 is a given fraction,
The decimal expansion of 1/77 is 0.013

1/77 as a Mixed Number
The given fraction 1/77 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 77.

The below work with steps provide the detailed information about how to convert fraction 1/77 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 1/77

What to be found:
Find the decimal expansion of fraction 1/77.

step 2 The numerator is smaller than the denominator of the fraction 1/77, 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 1/77.
= 1/77 x 100/100

step 3 Rearrange the fraction as like the below:
= 100/77 x 1/100

step 4 Simplify the above expression further:
= 100/77 x 1/100
= 77 + 23/77 x 1/100
= ( 77/77 + 23/77) x 1/100
= (1 + 23/77 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 23/77 in the above expression:
= (1 + 23/77 ) x 1/100
= (1 + 0.299) x 1/100

step 6 Simplify the above expression further:
= (1 + 0.299) x 1/100
= 1.299 x 1/100
= 1.299/100
1/77= 0.01299

Hence,
1/77 as a decimal is 0.01299