115/40 as a Decimal and Mixed Number

115/40 as a decimal and mixed number expansion provides the detailed information about what is 115/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

115/40 as a Decimal
115/40 = 2.875
Hence,
115/40 as a decimal equals to 2.875
where,
115/40 is a given fraction,
The decimal expansion of 115/40 is 2.875

115/40 as a Mixed Number
115/40 = (80 + 35)/40
= 80/40 + 35/40
= 2 + 35/40
= 2 35/40
115/40 = 2 35/40

Hence,
115/40 as a mixed number is 2 ³⁵/₄₀
where,
115/40 is a given fraction,
2 ³⁵/₄₀ is the mixed number representation of 115/40.

The below work with steps provide the detailed information about how to convert fraction 115/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 115/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 115/40.

step 2 The numerator is greater than the denominator of the fraction 115/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 115/40
= 80 + 35/40
= (2 x 40) + 35/40

step 3 Make the above expression as individual fractions:
= (2 x 40)/40 + 35/40

step 4 Simplify the above expression:
= 2 x 40/40 + 35/40
= 2 + 35/40
= 2 + 7 x 5/8 x 5
= 2 + 7/8
2 + 7/8 can be written as a mixed number 2 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (7/8 x 125/125)
= 2 + 875/1000

step 6 Simplify the above expression further:
= 2 + 0.875
= 2.875
115/40 = 2.875

Hence,
115/40 as a decimal is 2.875
115/40 as a mixed number is 2 ⁷/₈