158/118 as a Decimal and Mixed Number

158/118 as a decimal and mixed number expansion provides the detailed information about what is 158/118 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

158/118 as a Decimal
158/118 = 1.339
Hence,
158/118 as a decimal equals to 1.339
where,
158/118 is a given fraction,
The decimal expansion of 158/118 is 1.339

158/118 as a Mixed Number
158/118 = (118 + 40)/118
= 118/118 + 40/118
= 1 + 40/118
= 1 40/118
158/118 = 1 40/118

Hence,
158/118 as a mixed number is 1 ⁴⁰/₁₁₈
where,
158/118 is a given fraction,
1 ⁴⁰/₁₁₈ is the mixed number representation of 158/118.

The below work with steps provide the detailed information about how to convert fraction 158/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 158/118

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 158/118.

step 2 The numerator is greater than the denominator of the fraction 158/118, so write the given fraction in the expression form in terms of denominator as like the below:
= 158/118
= 118 + 40/118

step 3 Make the above expression as individual fractions:
= 118/118 + 40/118

step 4 Simplify the above expression:
= 1 x 118/118 + 40/118
= 1 + 40/118
= 1 + 20 x 2/59 x 2
= 1 + 20/59
1 + 20/59 can be written as a mixed number 1 ²⁰/₅₉.


step 5 Find the decimal equivalent for the fractional part 20/59 in the above expression:
= 1 + 0.339
= 1.339
158/118 = 1.339

Hence,
158/118 as a decimal is 1.339
158/118 as a mixed number is 1 ²⁰/₅₉