120/118 as a Decimal and Mixed Number

120/118 as a decimal and mixed number expansion provides the detailed information about what is 120/118 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/118 as a Decimal
120/118 = 1.0169
Hence,
120/118 as a decimal equals to 1.0169
where,
120/118 is a given fraction,
The decimal expansion of 120/118 is 1.0169

120/118 as a Mixed Number
120/118 = (118 + 2)/118
= 118/118 + 2/118
= 1 + 2/118
= 1 2/118
120/118 = 1 2/118

Hence,
120/118 as a mixed number is 1 ²/₁₁₈
where,
120/118 is a given fraction,
1 ²/₁₁₈ is the mixed number representation of 120/118.

The below work with steps provide the detailed information about how to convert fraction 120/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/118

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/118.

step 2 The numerator is greater than the denominator of the fraction 120/118, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/118
= 118 + 2/118

step 3 Make the above expression as individual fractions:
= 118/118 + 2/118

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


step 5 Find the decimal equivalent for the fractional part 1/59 in the above expression:
= 1 + 0.0169
= 1.0169
120/118 = 1.0169

Hence,
120/118 as a decimal is 1.0169
120/118 as a mixed number is 1 ¹/₅₉