112/15 as a Decimal and Mixed Number

112/15 as a decimal and mixed number expansion provides the detailed information about what is 112/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

112/15 as a Decimal
112/15 = 7.4667
Hence,
112/15 as a decimal equals to 7.4667
where,
112/15 is a given fraction,
The decimal expansion of 112/15 is 7.4667

112/15 as a Mixed Number
112/15 = (105 + 7)/15
= 105/15 + 7/15
= 7 + 7/15
= 7 7/15
112/15 = 7 7/15

Hence,
112/15 as a mixed number is 7 ⁷/₁₅
where,
112/15 is a given fraction,
7 ⁷/₁₅ is the mixed number representation of 112/15.

The below work with steps provide the detailed information about how to convert fraction 112/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 112/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 112/15.

step 2 The numerator is greater than the denominator of the fraction 112/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 112/15
= 105 + 7/15
= (7 x 15) + 7/15

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

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


step 5 Find the decimal equivalent for the fractional part 7/15 in the above expression:
= 7 + 0.4667
= 7.4667
112/15 = 7.4667

Hence,
112/15 as a decimal is 7.4667
112/15 as a mixed number is 7 ⁷/₁₅