296/272 as a Decimal and Mixed Number

296/272 as a decimal and mixed number expansion provides the detailed information about what is 296/272 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

296/272 as a Decimal
296/272 = 1.0882
Hence,
296/272 as a decimal equals to 1.0882
where,
296/272 is a given fraction,
The decimal expansion of 296/272 is 1.0882

296/272 as a Mixed Number
296/272 = (272 + 24)/272
= 272/272 + 24/272
= 1 + 24/272
= 1 24/272
296/272 = 1 24/272

Hence,
296/272 as a mixed number is 1 ²⁴/₂₇₂
where,
296/272 is a given fraction,
1 ²⁴/₂₇₂ is the mixed number representation of 296/272.

The below work with steps provide the detailed information about how to convert fraction 296/272 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 296/272

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 296/272.

step 2 The numerator is greater than the denominator of the fraction 296/272, so write the given fraction in the expression form in terms of denominator as like the below:
= 296/272
= 272 + 24/272

step 3 Make the above expression as individual fractions:
= 272/272 + 24/272

step 4 Simplify the above expression:
= 1 x 272/272 + 24/272
= 1 + 24/272
= 1 + 3 x 8/34 x 8
= 1 + 3/34
1 + 3/34 can be written as a mixed number 1 ³/₃₄.


step 5 Find the decimal equivalent for the fractional part 3/34 in the above expression:
= 1 + 0.0882
= 1.0882
296/272 = 1.0882

Hence,
296/272 as a decimal is 1.0882
296/272 as a mixed number is 1 ³/₃₄