79/40 as a Decimal and Mixed Number

79/40 as a decimal and mixed number expansion provides the detailed information about what is 79/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

79/40 as a Decimal
79/40 = 1.975
Hence,
79/40 as a decimal equals to 1.975
where,
79/40 is a given fraction,
The decimal expansion of 79/40 is 1.975

79/40 as a Mixed Number
79/40 = (40 + 39)/40
= 40/40 + 39/40
= 1 + 39/40
= 1 39/40
79/40 = 1 39/40

Hence,
79/40 as a mixed number is 1 ³⁹/₄₀
where,
79/40 is a given fraction,
1 ³⁹/₄₀ is the mixed number representation of 79/40.

The below work with steps provide the detailed information about how to convert fraction 79/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 79/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 79/40.

step 2 The numerator is greater than the denominator of the fraction 79/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 79/40
= 40 + 39/40

step 3 Make the above expression as individual fractions:
= 40/40 + 39/40

step 4 Simplify the above expression:
= 1 x 40/40 + 39/40
= 1 + 39/40
1 + 39/40 can be written as a mixed number 1 ³⁹/₄₀.


step 5 Find the decimal equivalent for the fractional part 39/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (39/40 x 25/25)
= 1 + 975/1000

step 6 Simplify the above expression further:
= 1 + 0.975
= 1.975
79/40 = 1.975

Hence,
79/40 as a decimal is 1.975
79/40 as a mixed number is 1 ³⁹/₄₀