275/8 as a Decimal and Mixed Number

275/8 as a decimal and mixed number expansion provides the detailed information about what is 275/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

275/8 as a Decimal
275/8 = 34.375
Hence,
275/8 as a decimal equals to 34.375
where,
275/8 is a given fraction,
The decimal expansion of 275/8 is 34.375

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

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

The below work with steps provide the detailed information about how to convert fraction 275/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 275/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 275/8.

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

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

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


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 34 + (3/8 x 125/125)
= 34 + 375/1000

step 6 Simplify the above expression further:
= 34 + 0.375
= 34.375
275/8 = 34.375

Hence,
275/8 as a decimal is 34.375
275/8 as a mixed number is 34 ³/₈