102/78 as a Decimal and Mixed Number

102/78 as a decimal and mixed number expansion provides the detailed information about what is 102/78 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/78 as a Decimal
102/78 = 1.3077
Hence,
102/78 as a decimal equals to 1.3077
where,
102/78 is a given fraction,
The decimal expansion of 102/78 is 1.3077

102/78 as a Mixed Number
102/78 = (78 + 24)/78
= 78/78 + 24/78
= 1 + 24/78
= 1 24/78
102/78 = 1 24/78

Hence,
102/78 as a mixed number is 1 ²⁴/₇₈
where,
102/78 is a given fraction,
1 ²⁴/₇₈ is the mixed number representation of 102/78.

The below work with steps provide the detailed information about how to convert fraction 102/78 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/78

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/78.

step 2 The numerator is greater than the denominator of the fraction 102/78, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/78
= 78 + 24/78

step 3 Make the above expression as individual fractions:
= 78/78 + 24/78

step 4 Simplify the above expression:
= 1 x 78/78 + 24/78
= 1 + 24/78
= 1 + 4 x 6/13 x 6
= 1 + 4/13
1 + 4/13 can be written as a mixed number 1 ⁴/₁₃.


step 5 Find the decimal equivalent for the fractional part 4/13 in the above expression:
= 1 + 0.3077
= 1.3077
102/78 = 1.3077

Hence,
102/78 as a decimal is 1.3077
102/78 as a mixed number is 1 ⁴/₁₃