118/14 as a Decimal and Mixed Number

118/14 as a decimal and mixed number expansion provides the detailed information about what is 118/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

118/14 as a Decimal
118/14 = 8.4286
Hence,
118/14 as a decimal equals to 8.4286
where,
118/14 is a given fraction,
The decimal expansion of 118/14 is 8.4286

118/14 as a Mixed Number
118/14 = (112 + 6)/14
= 112/14 + 6/14
= 8 + 6/14
= 8 6/14
118/14 = 8 6/14

Hence,
118/14 as a mixed number is 8 ⁶/₁₄
where,
118/14 is a given fraction,
8 ⁶/₁₄ is the mixed number representation of 118/14.

The below work with steps provide the detailed information about how to convert fraction 118/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 118/14

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 118/14.

step 2 The numerator is greater than the denominator of the fraction 118/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 118/14
= 112 + 6/14
= (8 x 14) + 6/14

step 3 Make the above expression as individual fractions:
= (8 x 14)/14 + 6/14

step 4 Simplify the above expression:
= 8 x 14/14 + 6/14
= 8 + 6/14
= 8 + 3 x 2/7 x 2
= 8 + 3/7
8 + 3/7 can be written as a mixed number 8 ³/₇.


step 5 Find the decimal equivalent for the fractional part 3/7 in the above expression:
= 8 + 0.4286
= 8.4286
118/14 = 8.4286

Hence,
118/14 as a decimal is 8.4286
118/14 as a mixed number is 8 ³/₇