118/102 as a Decimal and Mixed Number

118/102 as a decimal and mixed number expansion provides the detailed information about what is 118/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

118/102 as a Decimal
118/102 = 1.1569
Hence,
118/102 as a decimal equals to 1.1569
where,
118/102 is a given fraction,
The decimal expansion of 118/102 is 1.1569

118/102 as a Mixed Number
118/102 = (102 + 16)/102
= 102/102 + 16/102
= 1 + 16/102
= 1 16/102
118/102 = 1 16/102

Hence,
118/102 as a mixed number is 1 ¹⁶/₁₀₂
where,
118/102 is a given fraction,
1 ¹⁶/₁₀₂ is the mixed number representation of 118/102.

The below work with steps provide the detailed information about how to convert fraction 118/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 118/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 118/102.

step 2 The numerator is greater than the denominator of the fraction 118/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 118/102
= 102 + 16/102

step 3 Make the above expression as individual fractions:
= 102/102 + 16/102

step 4 Simplify the above expression:
= 1 x 102/102 + 16/102
= 1 + 16/102
= 1 + 8 x 2/51 x 2
= 1 + 8/51
1 + 8/51 can be written as a mixed number 1 ⁸/₅₁.


step 5 Find the decimal equivalent for the fractional part 8/51 in the above expression:
= 1 + 0.1569
= 1.1569
118/102 = 1.1569

Hence,
118/102 as a decimal is 1.1569
118/102 as a mixed number is 1 ⁸/₅₁