108/40 as a Decimal and Mixed Number

108/40 as a decimal and mixed number expansion provides the detailed information about what is 108/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

108/40 as a Decimal
108/40 = 2.7
Hence,
108/40 as a decimal equals to 2.7
where,
108/40 is a given fraction,
The decimal expansion of 108/40 is 2.7

108/40 as a Mixed Number
108/40 = (80 + 28)/40
= 80/40 + 28/40
= 2 + 28/40
= 2 28/40
108/40 = 2 28/40

Hence,
108/40 as a mixed number is 2 ²⁸/₄₀
where,
108/40 is a given fraction,
2 ²⁸/₄₀ is the mixed number representation of 108/40.

The below work with steps provide the detailed information about how to convert fraction 108/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 108/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 108/40.

step 2 The numerator is greater than the denominator of the fraction 108/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 108/40
= 80 + 28/40
= (2 x 40) + 28/40

step 3 Make the above expression as individual fractions:
= (2 x 40)/40 + 28/40

step 4 Simplify the above expression:
= 2 x 40/40 + 28/40
= 2 + 28/40
= 2 + 7 x 4/10 x 4
= 2 + 7/10
2 + 7/10 can be written as a mixed number 2 ⁷/₁₀.


step 5 Find the decimal equivalent for the fractional part 7/10 in the above expression:
= 2 + 0.7
= 2.7
108/40 = 2.7

Hence,
108/40 as a decimal is 2.7
108/40 as a mixed number is 2 ⁷/₁₀