167/15 as a Decimal and Mixed Number

167/15 as a decimal and mixed number expansion provides the detailed information about what is 167/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

167/15 as a Decimal
167/15 = 11.1333
Hence,
167/15 as a decimal equals to 11.1333
where,
167/15 is a given fraction,
The decimal expansion of 167/15 is 11.1333

167/15 as a Mixed Number
167/15 = (165 + 2)/15
= 165/15 + 2/15
= 11 + 2/15
= 11 2/15
167/15 = 11 2/15

Hence,
167/15 as a mixed number is 11 ²/₁₅
where,
167/15 is a given fraction,
11 ²/₁₅ is the mixed number representation of 167/15.

The below work with steps provide the detailed information about how to convert fraction 167/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 167/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 167/15.

step 2 The numerator is greater than the denominator of the fraction 167/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 167/15
= 165 + 2/15
= (11 x 15) + 2/15

step 3 Make the above expression as individual fractions:
= (11 x 15)/15 + 2/15

step 4 Simplify the above expression:
= 11 x 15/15 + 2/15
= 11 + 2/15
11 + 2/15 can be written as a mixed number 11 ²/₁₅.


step 5 Find the decimal equivalent for the fractional part 2/15 in the above expression:
= 11 + 0.1333
= 11.1333
167/15 = 11.1333

Hence,
167/15 as a decimal is 11.1333
167/15 as a mixed number is 11 ²/₁₅