178/72 as a Decimal and Mixed Number

178/72 as a decimal and mixed number expansion provides the detailed information about what is 178/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

178/72 as a Decimal
178/72 = 2.4722
Hence,
178/72 as a decimal equals to 2.4722
where,
178/72 is a given fraction,
The decimal expansion of 178/72 is 2.4722

178/72 as a Mixed Number
178/72 = (144 + 34)/72
= 144/72 + 34/72
= 2 + 34/72
= 2 34/72
178/72 = 2 34/72

Hence,
178/72 as a mixed number is 2 ³⁴/₇₂
where,
178/72 is a given fraction,
2 ³⁴/₇₂ is the mixed number representation of 178/72.

The below work with steps provide the detailed information about how to convert fraction 178/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 178/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 178/72.

step 2 The numerator is greater than the denominator of the fraction 178/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 178/72
= 144 + 34/72
= (2 x 72) + 34/72

step 3 Make the above expression as individual fractions:
= (2 x 72)/72 + 34/72

step 4 Simplify the above expression:
= 2 x 72/72 + 34/72
= 2 + 34/72
= 2 + 17 x 2/36 x 2
= 2 + 17/36
2 + 17/36 can be written as a mixed number 2 ¹⁷/₃₆.


step 5 Find the decimal equivalent for the fractional part 17/36 in the above expression:
= 2 + 0.4722
= 2.4722
178/72 = 2.4722

Hence,
178/72 as a decimal is 2.4722
178/72 as a mixed number is 2 ¹⁷/₃₆