109/40 as a Decimal and Mixed Number

109/40 as a decimal and mixed number expansion provides the detailed information about what is 109/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

109/40 as a Decimal
109/40 = 2.725
Hence,
109/40 as a decimal equals to 2.725
where,
109/40 is a given fraction,
The decimal expansion of 109/40 is 2.725

109/40 as a Mixed Number
109/40 = (80 + 29)/40
= 80/40 + 29/40
= 2 + 29/40
= 2 29/40
109/40 = 2 29/40

Hence,
109/40 as a mixed number is 2 ²⁹/₄₀
where,
109/40 is a given fraction,
2 ²⁹/₄₀ is the mixed number representation of 109/40.

The below work with steps provide the detailed information about how to convert fraction 109/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 109/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 109/40.

step 2 The numerator is greater than the denominator of the fraction 109/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 109/40
= 80 + 29/40
= (2 x 40) + 29/40

step 3 Make the above expression as individual fractions:
= (2 x 40)/40 + 29/40

step 4 Simplify the above expression:
= 2 x 40/40 + 29/40
= 2 + 29/40
2 + 29/40 can be written as a mixed number 2 ²⁹/₄₀.


step 5 Find the decimal equivalent for the fractional part 29/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (29/40 x 25/25)
= 2 + 725/1000

step 6 Simplify the above expression further:
= 2 + 0.725
= 2.725
109/40 = 2.725

Hence,
109/40 as a decimal is 2.725
109/40 as a mixed number is 2 ²⁹/₄₀