271/72 as a Decimal and Mixed Number

271/72 as a decimal and mixed number expansion provides the detailed information about what is 271/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

271/72 as a Decimal
271/72 = 3.7639
Hence,
271/72 as a decimal equals to 3.7639
where,
271/72 is a given fraction,
The decimal expansion of 271/72 is 3.7639

271/72 as a Mixed Number
271/72 = (216 + 55)/72
= 216/72 + 55/72
= 3 + 55/72
= 3 55/72
271/72 = 3 55/72

Hence,
271/72 as a mixed number is 3 ⁵⁵/₇₂
where,
271/72 is a given fraction,
3 ⁵⁵/₇₂ is the mixed number representation of 271/72.

The below work with steps provide the detailed information about how to convert fraction 271/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 271/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 271/72.

step 2 The numerator is greater than the denominator of the fraction 271/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 271/72
= 216 + 55/72
= (3 x 72) + 55/72

step 3 Make the above expression as individual fractions:
= (3 x 72)/72 + 55/72

step 4 Simplify the above expression:
= 3 x 72/72 + 55/72
= 3 + 55/72
3 + 55/72 can be written as a mixed number 3 ⁵⁵/₇₂.


step 5 Find the decimal equivalent for the fractional part 55/72 in the above expression:
= 3 + 0.7639
= 3.7639
271/72 = 3.7639

Hence,
271/72 as a decimal is 3.7639
271/72 as a mixed number is 3 ⁵⁵/₇₂