157/80 as a Decimal and Mixed Number

157/80 as a decimal and mixed number expansion provides the detailed information about what is 157/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

157/80 as a Decimal
157/80 = 1.9625
Hence,
157/80 as a decimal equals to 1.9625
where,
157/80 is a given fraction,
The decimal expansion of 157/80 is 1.9625

157/80 as a Mixed Number
157/80 = (80 + 77)/80
= 80/80 + 77/80
= 1 + 77/80
= 1 77/80
157/80 = 1 77/80

Hence,
157/80 as a mixed number is 1 ⁷⁷/₈₀
where,
157/80 is a given fraction,
1 ⁷⁷/₈₀ is the mixed number representation of 157/80.

The below work with steps provide the detailed information about how to convert fraction 157/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 157/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 157/80.

step 2 The numerator is greater than the denominator of the fraction 157/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 157/80
= 80 + 77/80

step 3 Make the above expression as individual fractions:
= 80/80 + 77/80

step 4 Simplify the above expression:
= 1 x 80/80 + 77/80
= 1 + 77/80
1 + 77/80 can be written as a mixed number 1 ⁷⁷/₈₀.


step 5 Find the decimal equivalent for the fractional part 77/80 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (77/80 x 125/125)
= 1 + 9625/10000

step 6 Simplify the above expression further:
= 1 + 0.9625
= 1.9625
157/80 = 1.9625

Hence,
157/80 as a decimal is 1.9625
157/80 as a mixed number is 1 ⁷⁷/₈₀