275/33 as a Decimal and Mixed Number

275/33 as a decimal and mixed number expansion provides the detailed information about what is 275/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

275/33 as a Decimal
275/33 = 8.3333
Hence,
275/33 as a decimal equals to 8.3333
where,
275/33 is a given fraction,
The decimal expansion of 275/33 is 8.3333

275/33 as a Mixed Number
275/33 = (264 + 11)/33
= 264/33 + 11/33
= 8 + 11/33
= 8 11/33
275/33 = 8 11/33

Hence,
275/33 as a mixed number is 8 ¹¹/₃₃
where,
275/33 is a given fraction,
8 ¹¹/₃₃ is the mixed number representation of 275/33.

The below work with steps provide the detailed information about how to convert fraction 275/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 275/33

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 275/33.

step 2 The numerator is greater than the denominator of the fraction 275/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 275/33
= 264 + 11/33
= (8 x 33) + 11/33

step 3 Make the above expression as individual fractions:
= (8 x 33)/33 + 11/33

step 4 Simplify the above expression:
= 8 x 33/33 + 11/33
= 8 + 11/33
= 8 + 1 x 11/3 x 11
= 8 + 1/3
8 + 1/3 can be written as a mixed number 8 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 8 + 0.3333
= 8.3333
275/33 = 8.3333

Hence,
275/33 as a decimal is 8.3333
275/33 as a mixed number is 8 ¹/₃