115/15 as a Decimal and Mixed Number

115/15 as a decimal and mixed number expansion provides the detailed information about what is 115/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

115/15 as a Decimal
115/15 = 7.6667
Hence,
115/15 as a decimal equals to 7.6667
where,
115/15 is a given fraction,
The decimal expansion of 115/15 is 7.6667

115/15 as a Mixed Number
115/15 = (105 + 10)/15
= 105/15 + 10/15
= 7 + 10/15
= 7 10/15
115/15 = 7 10/15

Hence,
115/15 as a mixed number is 7 ¹⁰/₁₅
where,
115/15 is a given fraction,
7 ¹⁰/₁₅ is the mixed number representation of 115/15.

The below work with steps provide the detailed information about how to convert fraction 115/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 115/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 115/15.

step 2 The numerator is greater than the denominator of the fraction 115/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 115/15
= 105 + 10/15
= (7 x 15) + 10/15

step 3 Make the above expression as individual fractions:
= (7 x 15)/15 + 10/15

step 4 Simplify the above expression:
= 7 x 15/15 + 10/15
= 7 + 10/15
= 7 + 2 x 5/3 x 5
= 7 + 2/3
7 + 2/3 can be written as a mixed number 7 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 7 + 0.6667
= 7.6667
115/15 = 7.6667

Hence,
115/15 as a decimal is 7.6667
115/15 as a mixed number is 7 ²/₃