117/45 as a Decimal and Mixed Number

117/45 as a decimal and mixed number expansion provides the detailed information about what is 117/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

117/45 as a Decimal
117/45 = 2.6
Hence,
117/45 as a decimal equals to 2.6
where,
117/45 is a given fraction,
The decimal expansion of 117/45 is 2.6

117/45 as a Mixed Number
117/45 = (90 + 27)/45
= 90/45 + 27/45
= 2 + 27/45
= 2 27/45
117/45 = 2 27/45

Hence,
117/45 as a mixed number is 2 ²⁷/₄₅
where,
117/45 is a given fraction,
2 ²⁷/₄₅ is the mixed number representation of 117/45.

The below work with steps provide the detailed information about how to convert fraction 117/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 117/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 117/45.

step 2 The numerator is greater than the denominator of the fraction 117/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 117/45
= 90 + 27/45
= (2 x 45) + 27/45

step 3 Make the above expression as individual fractions:
= (2 x 45)/45 + 27/45

step 4 Simplify the above expression:
= 2 x 45/45 + 27/45
= 2 + 27/45
= 2 + 3 x 9/5 x 9
= 2 + 3/5
2 + 3/5 can be written as a mixed number 2 ³/₅.


step 5 Find the decimal equivalent for the fractional part 3/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 2 + (3/5 x 2/2)
= 2 + 6/10

step 6 Simplify the above expression further:
= 2 + 0.6
= 2.6
117/45 = 2.6

Hence,
117/45 as a decimal is 2.6
117/45 as a mixed number is 2 ³/₅