189/118 as a Decimal and Mixed Number

189/118 as a decimal and mixed number expansion provides the detailed information about what is 189/118 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/118 as a Decimal
189/118 = 1.6017
Hence,
189/118 as a decimal equals to 1.6017
where,
189/118 is a given fraction,
The decimal expansion of 189/118 is 1.6017

189/118 as a Mixed Number
189/118 = (118 + 71)/118
= 118/118 + 71/118
= 1 + 71/118
= 1 71/118
189/118 = 1 71/118

Hence,
189/118 as a mixed number is 1 ⁷¹/₁₁₈
where,
189/118 is a given fraction,
1 ⁷¹/₁₁₈ is the mixed number representation of 189/118.

The below work with steps provide the detailed information about how to convert fraction 189/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/118

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/118.

step 2 The numerator is greater than the denominator of the fraction 189/118, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/118
= 118 + 71/118

step 3 Make the above expression as individual fractions:
= 118/118 + 71/118

step 4 Simplify the above expression:
= 1 x 118/118 + 71/118
= 1 + 71/118
1 + 71/118 can be written as a mixed number 1 ⁷¹/₁₁₈.


step 5 Find the decimal equivalent for the fractional part 71/118 in the above expression:
= 1 + 0.6017
= 1.6017
189/118 = 1.6017

Hence,
189/118 as a decimal is 1.6017
189/118 as a mixed number is 1 ⁷¹/₁₁₈