316/40 as a Decimal and Mixed Number

316/40 as a decimal and mixed number expansion provides the detailed information about what is 316/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

316/40 as a Decimal
316/40 = 7.9
Hence,
316/40 as a decimal equals to 7.9
where,
316/40 is a given fraction,
The decimal expansion of 316/40 is 7.9

316/40 as a Mixed Number
316/40 = (280 + 36)/40
= 280/40 + 36/40
= 7 + 36/40
= 7 36/40
316/40 = 7 36/40

Hence,
316/40 as a mixed number is 7 ³⁶/₄₀
where,
316/40 is a given fraction,
7 ³⁶/₄₀ is the mixed number representation of 316/40.

The below work with steps provide the detailed information about how to convert fraction 316/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 316/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 316/40.

step 2 The numerator is greater than the denominator of the fraction 316/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 316/40
= 280 + 36/40
= (7 x 40) + 36/40

step 3 Make the above expression as individual fractions:
= (7 x 40)/40 + 36/40

step 4 Simplify the above expression:
= 7 x 40/40 + 36/40
= 7 + 36/40
= 7 + 9 x 4/10 x 4
= 7 + 9/10
7 + 9/10 can be written as a mixed number 7 ⁹/₁₀.


step 5 Find the decimal equivalent for the fractional part 9/10 in the above expression:
= 7 + 0.9
= 7.9
316/40 = 7.9

Hence,
316/40 as a decimal is 7.9
316/40 as a mixed number is 7 ⁹/₁₀