275/34 as a Decimal and Mixed Number

275/34 as a decimal and mixed number expansion provides the detailed information about what is 275/34 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

275/34 as a Decimal
275/34 = 8.0882
Hence,
275/34 as a decimal equals to 8.0882
where,
275/34 is a given fraction,
The decimal expansion of 275/34 is 8.0882

275/34 as a Mixed Number
275/34 = (272 + 3)/34
= 272/34 + 3/34
= 8 + 3/34
= 8 3/34
275/34 = 8 3/34

Hence,
275/34 as a mixed number is 8 ³/₃₄
where,
275/34 is a given fraction,
8 ³/₃₄ is the mixed number representation of 275/34.

The below work with steps provide the detailed information about how to convert fraction 275/34 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 275/34

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 275/34.

step 2 The numerator is greater than the denominator of the fraction 275/34, so write the given fraction in the expression form in terms of denominator as like the below:
= 275/34
= 272 + 3/34
= (8 x 34) + 3/34

step 3 Make the above expression as individual fractions:
= (8 x 34)/34 + 3/34

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


step 5 Find the decimal equivalent for the fractional part 3/34 in the above expression:
= 8 + 0.0882
= 8.0882
275/34 = 8.0882

Hence,
275/34 as a decimal is 8.0882
275/34 as a mixed number is 8 ³/₃₄