198/118 as a Decimal and Mixed Number

198/118 as a decimal and mixed number expansion provides the detailed information about what is 198/118 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

198/118 as a Decimal
198/118 = 1.678
Hence,
198/118 as a decimal equals to 1.678
where,
198/118 is a given fraction,
The decimal expansion of 198/118 is 1.678

198/118 as a Mixed Number
198/118 = (118 + 80)/118
= 118/118 + 80/118
= 1 + 80/118
= 1 80/118
198/118 = 1 80/118

Hence,
198/118 as a mixed number is 1 ⁸⁰/₁₁₈
where,
198/118 is a given fraction,
1 ⁸⁰/₁₁₈ is the mixed number representation of 198/118.

The below work with steps provide the detailed information about how to convert fraction 198/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/118

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/118.

step 2 The numerator is greater than the denominator of the fraction 198/118, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/118
= 118 + 80/118

step 3 Make the above expression as individual fractions:
= 118/118 + 80/118

step 4 Simplify the above expression:
= 1 x 118/118 + 80/118
= 1 + 80/118
= 1 + 40 x 2/59 x 2
= 1 + 40/59
1 + 40/59 can be written as a mixed number 1 ⁴⁰/₅₉.


step 5 Find the decimal equivalent for the fractional part 40/59 in the above expression:
= 1 + 0.678
= 1.678
198/118 = 1.678

Hence,
198/118 as a decimal is 1.678
198/118 as a mixed number is 1 ⁴⁰/₅₉