231/72 as a Decimal and Mixed Number

231/72 as a decimal and mixed number expansion provides the detailed information about what is 231/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

231/72 as a Decimal
231/72 = 3.2083
Hence,
231/72 as a decimal equals to 3.2083
where,
231/72 is a given fraction,
The decimal expansion of 231/72 is 3.2083

231/72 as a Mixed Number
231/72 = (216 + 15)/72
= 216/72 + 15/72
= 3 + 15/72
= 3 15/72
231/72 = 3 15/72

Hence,
231/72 as a mixed number is 3 ¹⁵/₇₂
where,
231/72 is a given fraction,
3 ¹⁵/₇₂ is the mixed number representation of 231/72.

The below work with steps provide the detailed information about how to convert fraction 231/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 231/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 231/72.

step 2 The numerator is greater than the denominator of the fraction 231/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 231/72
= 216 + 15/72
= (3 x 72) + 15/72

step 3 Make the above expression as individual fractions:
= (3 x 72)/72 + 15/72

step 4 Simplify the above expression:
= 3 x 72/72 + 15/72
= 3 + 15/72
= 3 + 5 x 3/24 x 3
= 3 + 5/24
3 + 5/24 can be written as a mixed number 3 ⁵/₂₄.


step 5 Find the decimal equivalent for the fractional part 5/24 in the above expression:
= 3 + 0.2083
= 3.2083
231/72 = 3.2083

Hence,
231/72 as a decimal is 3.2083
231/72 as a mixed number is 3 ⁵/₂₄