90/78 as a Decimal and Mixed Number

90/78 as a decimal and mixed number expansion provides the detailed information about what is 90/78 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

90/78 as a Decimal
90/78 = 1.1538
Hence,
90/78 as a decimal equals to 1.1538
where,
90/78 is a given fraction,
The decimal expansion of 90/78 is 1.1538

90/78 as a Mixed Number
90/78 = (78 + 12)/78
= 78/78 + 12/78
= 1 + 12/78
= 1 12/78
90/78 = 1 12/78

Hence,
90/78 as a mixed number is 1 ¹²/₇₈
where,
90/78 is a given fraction,
1 ¹²/₇₈ is the mixed number representation of 90/78.

The below work with steps provide the detailed information about how to convert fraction 90/78 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 90/78

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 90/78.

step 2 The numerator is greater than the denominator of the fraction 90/78, so write the given fraction in the expression form in terms of denominator as like the below:
= 90/78
= 78 + 12/78

step 3 Make the above expression as individual fractions:
= 78/78 + 12/78

step 4 Simplify the above expression:
= 1 x 78/78 + 12/78
= 1 + 12/78
= 1 + 2 x 6/13 x 6
= 1 + 2/13
1 + 2/13 can be written as a mixed number 1 ²/₁₃.


step 5 Find the decimal equivalent for the fractional part 2/13 in the above expression:
= 1 + 0.1538
= 1.1538
90/78 = 1.1538

Hence,
90/78 as a decimal is 1.1538
90/78 as a mixed number is 1 ²/₁₃