275/90 as a Decimal and Mixed Number

275/90 as a decimal and mixed number expansion provides the detailed information about what is 275/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

275/90 as a Decimal
275/90 = 3.0556
Hence,
275/90 as a decimal equals to 3.0556
where,
275/90 is a given fraction,
The decimal expansion of 275/90 is 3.0556

275/90 as a Mixed Number
275/90 = (270 + 5)/90
= 270/90 + 5/90
= 3 + 5/90
= 3 5/90
275/90 = 3 5/90

Hence,
275/90 as a mixed number is 3 ⁵/₉₀
where,
275/90 is a given fraction,
3 ⁵/₉₀ is the mixed number representation of 275/90.

The below work with steps provide the detailed information about how to convert fraction 275/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 275/90

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 275/90.

step 2 The numerator is greater than the denominator of the fraction 275/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 275/90
= 270 + 5/90
= (3 x 90) + 5/90

step 3 Make the above expression as individual fractions:
= (3 x 90)/90 + 5/90

step 4 Simplify the above expression:
= 3 x 90/90 + 5/90
= 3 + 5/90
= 3 + 1 x 5/18 x 5
= 3 + 1/18
3 + 1/18 can be written as a mixed number 3 ¹/₁₈.


step 5 Find the decimal equivalent for the fractional part 1/18 in the above expression:
= 3 + 0.0556
= 3.0556
275/90 = 3.0556

Hence,
275/90 as a decimal is 3.0556
275/90 as a mixed number is 3 ¹/₁₈