311/40 as a Decimal and Mixed Number

311/40 as a decimal and mixed number expansion provides the detailed information about what is 311/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

311/40 as a Decimal
311/40 = 7.775
Hence,
311/40 as a decimal equals to 7.775
where,
311/40 is a given fraction,
The decimal expansion of 311/40 is 7.775

311/40 as a Mixed Number
311/40 = (280 + 31)/40
= 280/40 + 31/40
= 7 + 31/40
= 7 31/40
311/40 = 7 31/40

Hence,
311/40 as a mixed number is 7 ³¹/₄₀
where,
311/40 is a given fraction,
7 ³¹/₄₀ is the mixed number representation of 311/40.

The below work with steps provide the detailed information about how to convert fraction 311/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 311/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 311/40.

step 2 The numerator is greater than the denominator of the fraction 311/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 311/40
= 280 + 31/40
= (7 x 40) + 31/40

step 3 Make the above expression as individual fractions:
= (7 x 40)/40 + 31/40

step 4 Simplify the above expression:
= 7 x 40/40 + 31/40
= 7 + 31/40
7 + 31/40 can be written as a mixed number 7 ³¹/₄₀.


step 5 Find the decimal equivalent for the fractional part 31/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 7 + (31/40 x 25/25)
= 7 + 775/1000

step 6 Simplify the above expression further:
= 7 + 0.775
= 7.775
311/40 = 7.775

Hence,
311/40 as a decimal is 7.775
311/40 as a mixed number is 7 ³¹/₄₀