174/138 as a Decimal and Mixed Number

174/138 as a decimal and mixed number expansion provides the detailed information about what is 174/138 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

174/138 as a Decimal
174/138 = 1.2609
Hence,
174/138 as a decimal equals to 1.2609
where,
174/138 is a given fraction,
The decimal expansion of 174/138 is 1.2609

174/138 as a Mixed Number
174/138 = (138 + 36)/138
= 138/138 + 36/138
= 1 + 36/138
= 1 36/138
174/138 = 1 36/138

Hence,
174/138 as a mixed number is 1 ³⁶/₁₃₈
where,
174/138 is a given fraction,
1 ³⁶/₁₃₈ is the mixed number representation of 174/138.

The below work with steps provide the detailed information about how to convert fraction 174/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 174/138

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 174/138.

step 2 The numerator is greater than the denominator of the fraction 174/138, so write the given fraction in the expression form in terms of denominator as like the below:
= 174/138
= 138 + 36/138

step 3 Make the above expression as individual fractions:
= 138/138 + 36/138

step 4 Simplify the above expression:
= 1 x 138/138 + 36/138
= 1 + 36/138
= 1 + 6 x 6/23 x 6
= 1 + 6/23
1 + 6/23 can be written as a mixed number 1 ⁶/₂₃.


step 5 Find the decimal equivalent for the fractional part 6/23 in the above expression:
= 1 + 0.2609
= 1.2609
174/138 = 1.2609

Hence,
174/138 as a decimal is 1.2609
174/138 as a mixed number is 1 ⁶/₂₃