342/272 as a Decimal and Mixed Number

342/272 as a decimal and mixed number expansion provides the detailed information about what is 342/272 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

342/272 as a Decimal
342/272 = 1.2574
Hence,
342/272 as a decimal equals to 1.2574
where,
342/272 is a given fraction,
The decimal expansion of 342/272 is 1.2574

342/272 as a Mixed Number
342/272 = (272 + 70)/272
= 272/272 + 70/272
= 1 + 70/272
= 1 70/272
342/272 = 1 70/272

Hence,
342/272 as a mixed number is 1 ⁷⁰/₂₇₂
where,
342/272 is a given fraction,
1 ⁷⁰/₂₇₂ is the mixed number representation of 342/272.

The below work with steps provide the detailed information about how to convert fraction 342/272 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 342/272

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 342/272.

step 2 The numerator is greater than the denominator of the fraction 342/272, so write the given fraction in the expression form in terms of denominator as like the below:
= 342/272
= 272 + 70/272

step 3 Make the above expression as individual fractions:
= 272/272 + 70/272

step 4 Simplify the above expression:
= 1 x 272/272 + 70/272
= 1 + 70/272
= 1 + 35 x 2/136 x 2
= 1 + 35/136
1 + 35/136 can be written as a mixed number 1 ³⁵/₁₃₆.


step 5 Find the decimal equivalent for the fractional part 35/136 in the above expression:
= 1 + 0.2574
= 1.2574
342/272 = 1.2574

Hence,
342/272 as a decimal is 1.2574
342/272 as a mixed number is 1 ³⁵/₁₃₆