1/78 as a Decimal

1/78 as a decimal expansion provides the detailed information about what is 1/78 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

1/78 as a Decimal
1/78 = 0.0128
Hence,
1/78 as a decimal equals to 0.0128
where,
1/78 is a given fraction,
The decimal expansion of 1/78 is 0.0128

1/78 as a Mixed Number
The given fraction 1/78 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 78.

The below work with steps provide the detailed information about how to convert fraction 1/78 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 1/78

What to be found:
Find the decimal expansion of fraction 1/78.

step 2 The numerator is smaller than the denominator of the fraction 1/78, 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 1/78.
= 1/78 x 100/100

step 3 Rearrange the fraction as like the below:
= 100/78 x 1/100

step 4 Simplify the above expression further:
= 100/78 x 1/100
= 78 + 22/78 x 1/100
= ( 78/78 + 22/78) x 1/100
= (1 + 22/78 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 22/78 in the above expression:
= (1 + 22/78 ) x 1/100
= (1 + 0.282) x 1/100

step 6 Simplify the above expression further:
= (1 + 0.282) x 1/100
= 1.282 x 1/100
= 1.282/100
1/78= 0.01282

Hence,
1/78 as a decimal is 0.01282