118/13 as a Decimal and Mixed Number

118/13 as a decimal and mixed number expansion provides the detailed information about what is 118/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

118/13 as a Decimal
118/13 = 9.0769
Hence,
118/13 as a decimal equals to 9.0769
where,
118/13 is a given fraction,
The decimal expansion of 118/13 is 9.0769

118/13 as a Mixed Number
118/13 = (117 + 1)/13
= 117/13 + 1/13
= 9 + 1/13
= 9 1/13
118/13 = 9 1/13

Hence,
118/13 as a mixed number is 9 ¹/₁₃
where,
118/13 is a given fraction,
9 ¹/₁₃ is the mixed number representation of 118/13.

The below work with steps provide the detailed information about how to convert fraction 118/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 118/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 118/13.

step 2 The numerator is greater than the denominator of the fraction 118/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 118/13
= 117 + 1/13
= (9 x 13) + 1/13

step 3 Make the above expression as individual fractions:
= (9 x 13)/13 + 1/13

step 4 Simplify the above expression:
= 9 x 13/13 + 1/13
= 9 + 1/13
9 + 1/13 can be written as a mixed number 9 ¹/₁₃.


step 5 Find the decimal equivalent for the fractional part 1/13 in the above expression:
= 9 + 0.0769
= 9.0769
118/13 = 9.0769

Hence,
118/13 as a decimal is 9.0769
118/13 as a mixed number is 9 ¹/₁₃