172/72 as a Decimal and Mixed Number

172/72 as a decimal and mixed number expansion provides the detailed information about what is 172/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

172/72 as a Decimal
172/72 = 2.3889
Hence,
172/72 as a decimal equals to 2.3889
where,
172/72 is a given fraction,
The decimal expansion of 172/72 is 2.3889

172/72 as a Mixed Number
172/72 = (144 + 28)/72
= 144/72 + 28/72
= 2 + 28/72
= 2 28/72
172/72 = 2 28/72

Hence,
172/72 as a mixed number is 2 ²⁸/₇₂
where,
172/72 is a given fraction,
2 ²⁸/₇₂ is the mixed number representation of 172/72.

The below work with steps provide the detailed information about how to convert fraction 172/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 172/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 172/72.

step 2 The numerator is greater than the denominator of the fraction 172/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 172/72
= 144 + 28/72
= (2 x 72) + 28/72

step 3 Make the above expression as individual fractions:
= (2 x 72)/72 + 28/72

step 4 Simplify the above expression:
= 2 x 72/72 + 28/72
= 2 + 28/72
= 2 + 7 x 4/18 x 4
= 2 + 7/18
2 + 7/18 can be written as a mixed number 2 ⁷/₁₈.


step 5 Find the decimal equivalent for the fractional part 7/18 in the above expression:
= 2 + 0.3889
= 2.3889
172/72 = 2.3889

Hence,
172/72 as a decimal is 2.3889
172/72 as a mixed number is 2 ⁷/₁₈