189/119 as a Decimal and Mixed Number

189/119 as a decimal and mixed number expansion provides the detailed information about what is 189/119 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/119 as a Decimal
189/119 = 1.5882
Hence,
189/119 as a decimal equals to 1.5882
where,
189/119 is a given fraction,
The decimal expansion of 189/119 is 1.5882

189/119 as a Mixed Number
189/119 = (119 + 70)/119
= 119/119 + 70/119
= 1 + 70/119
= 1 70/119
189/119 = 1 70/119

Hence,
189/119 as a mixed number is 1 ⁷⁰/₁₁₉
where,
189/119 is a given fraction,
1 ⁷⁰/₁₁₉ is the mixed number representation of 189/119.

The below work with steps provide the detailed information about how to convert fraction 189/119 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/119

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/119.

step 2 The numerator is greater than the denominator of the fraction 189/119, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/119
= 119 + 70/119

step 3 Make the above expression as individual fractions:
= 119/119 + 70/119

step 4 Simplify the above expression:
= 1 x 119/119 + 70/119
= 1 + 70/119
= 1 + 10 x 7/17 x 7
= 1 + 10/17
1 + 10/17 can be written as a mixed number 1 ¹⁰/₁₇.


step 5 Find the decimal equivalent for the fractional part 10/17 in the above expression:
= 1 + 0.5882
= 1.5882
189/119 = 1.5882

Hence,
189/119 as a decimal is 1.5882
189/119 as a mixed number is 1 ¹⁰/₁₇