172/55 as a Decimal and Mixed Number

172/55 as a decimal and mixed number expansion provides the detailed information about what is 172/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

172/55 as a Decimal
172/55 = 3.1273
Hence,
172/55 as a decimal equals to 3.1273
where,
172/55 is a given fraction,
The decimal expansion of 172/55 is 3.1273

172/55 as a Mixed Number
172/55 = (165 + 7)/55
= 165/55 + 7/55
= 3 + 7/55
= 3 7/55
172/55 = 3 7/55

Hence,
172/55 as a mixed number is 3 ⁷/₅₅
where,
172/55 is a given fraction,
3 ⁷/₅₅ is the mixed number representation of 172/55.

The below work with steps provide the detailed information about how to convert fraction 172/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 172/55

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 172/55.

step 2 The numerator is greater than the denominator of the fraction 172/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 172/55
= 165 + 7/55
= (3 x 55) + 7/55

step 3 Make the above expression as individual fractions:
= (3 x 55)/55 + 7/55

step 4 Simplify the above expression:
= 3 x 55/55 + 7/55
= 3 + 7/55
3 + 7/55 can be written as a mixed number 3 ⁷/₅₅.


step 5 Find the decimal equivalent for the fractional part 7/55 in the above expression:
= 3 + 0.1273
= 3.1273
172/55 = 3.1273

Hence,
172/55 as a decimal is 3.1273
172/55 as a mixed number is 3 ⁷/₅₅