117/15 as a Decimal and Mixed Number

117/15 as a decimal and mixed number expansion provides the detailed information about what is 117/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

117/15 as a Decimal
117/15 = 7.8
Hence,
117/15 as a decimal equals to 7.8
where,
117/15 is a given fraction,
The decimal expansion of 117/15 is 7.8

117/15 as a Mixed Number
117/15 = (105 + 12)/15
= 105/15 + 12/15
= 7 + 12/15
= 7 12/15
117/15 = 7 12/15

Hence,
117/15 as a mixed number is 7 ¹²/₁₅
where,
117/15 is a given fraction,
7 ¹²/₁₅ is the mixed number representation of 117/15.

The below work with steps provide the detailed information about how to convert fraction 117/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 117/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 117/15.

step 2 The numerator is greater than the denominator of the fraction 117/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 117/15
= 105 + 12/15
= (7 x 15) + 12/15

step 3 Make the above expression as individual fractions:
= (7 x 15)/15 + 12/15

step 4 Simplify the above expression:
= 7 x 15/15 + 12/15
= 7 + 12/15
= 7 + 4 x 3/5 x 3
= 7 + 4/5
7 + 4/5 can be written as a mixed number 7 ⁴/₅.


step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 7 + (4/5 x 2/2)
= 7 + 8/10

step 6 Simplify the above expression further:
= 7 + 0.8
= 7.8
117/15 = 7.8

Hence,
117/15 as a decimal is 7.8
117/15 as a mixed number is 7 ⁴/₅