275/88 as a Decimal and Mixed Number

275/88 as a decimal and mixed number expansion provides the detailed information about what is 275/88 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

275/88 as a Decimal
275/88 = 3.125
Hence,
275/88 as a decimal equals to 3.125
where,
275/88 is a given fraction,
The decimal expansion of 275/88 is 3.125

275/88 as a Mixed Number
275/88 = (264 + 11)/88
= 264/88 + 11/88
= 3 + 11/88
= 3 11/88
275/88 = 3 11/88

Hence,
275/88 as a mixed number is 3 ¹¹/₈₈
where,
275/88 is a given fraction,
3 ¹¹/₈₈ is the mixed number representation of 275/88.

The below work with steps provide the detailed information about how to convert fraction 275/88 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 275/88

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 275/88.

step 2 The numerator is greater than the denominator of the fraction 275/88, so write the given fraction in the expression form in terms of denominator as like the below:
= 275/88
= 264 + 11/88
= (3 x 88) + 11/88

step 3 Make the above expression as individual fractions:
= (3 x 88)/88 + 11/88

step 4 Simplify the above expression:
= 3 x 88/88 + 11/88
= 3 + 11/88
= 3 + 1 x 11/8 x 11
= 3 + 1/8
3 + 1/8 can be written as a mixed number 3 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 3 + (1/8 x 125/125)
= 3 + 125/1000

step 6 Simplify the above expression further:
= 3 + 0.125
= 3.125
275/88 = 3.125

Hence,
275/88 as a decimal is 3.125
275/88 as a mixed number is 3 ¹/₈