172/98 as a Decimal and Mixed Number

172/98 as a decimal and mixed number expansion provides the detailed information about what is 172/98 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

172/98 as a Decimal
172/98 = 1.7551
Hence,
172/98 as a decimal equals to 1.7551
where,
172/98 is a given fraction,
The decimal expansion of 172/98 is 1.7551

172/98 as a Mixed Number
172/98 = (98 + 74)/98
= 98/98 + 74/98
= 1 + 74/98
= 1 74/98
172/98 = 1 74/98

Hence,
172/98 as a mixed number is 1 ⁷⁴/₉₈
where,
172/98 is a given fraction,
1 ⁷⁴/₉₈ is the mixed number representation of 172/98.

The below work with steps provide the detailed information about how to convert fraction 172/98 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 172/98

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 172/98.

step 2 The numerator is greater than the denominator of the fraction 172/98, so write the given fraction in the expression form in terms of denominator as like the below:
= 172/98
= 98 + 74/98

step 3 Make the above expression as individual fractions:
= 98/98 + 74/98

step 4 Simplify the above expression:
= 1 x 98/98 + 74/98
= 1 + 74/98
= 1 + 37 x 2/49 x 2
= 1 + 37/49
1 + 37/49 can be written as a mixed number 1 ³⁷/₄₉.


step 5 Find the decimal equivalent for the fractional part 37/49 in the above expression:
= 1 + 0.7551
= 1.7551
172/98 = 1.7551

Hence,
172/98 as a decimal is 1.7551
172/98 as a mixed number is 1 ³⁷/₄₉