172/62 as a Decimal and Mixed Number

172/62 as a decimal and mixed number expansion provides the detailed information about what is 172/62 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

172/62 as a Decimal
172/62 = 2.7742
Hence,
172/62 as a decimal equals to 2.7742
where,
172/62 is a given fraction,
The decimal expansion of 172/62 is 2.7742

172/62 as a Mixed Number
172/62 = (124 + 48)/62
= 124/62 + 48/62
= 2 + 48/62
= 2 48/62
172/62 = 2 48/62

Hence,
172/62 as a mixed number is 2 ⁴⁸/₆₂
where,
172/62 is a given fraction,
2 ⁴⁸/₆₂ is the mixed number representation of 172/62.

The below work with steps provide the detailed information about how to convert fraction 172/62 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 172/62

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 172/62.

step 2 The numerator is greater than the denominator of the fraction 172/62, so write the given fraction in the expression form in terms of denominator as like the below:
= 172/62
= 124 + 48/62
= (2 x 62) + 48/62

step 3 Make the above expression as individual fractions:
= (2 x 62)/62 + 48/62

step 4 Simplify the above expression:
= 2 x 62/62 + 48/62
= 2 + 48/62
= 2 + 24 x 2/31 x 2
= 2 + 24/31
2 + 24/31 can be written as a mixed number 2 ²⁴/₃₁.


step 5 Find the decimal equivalent for the fractional part 24/31 in the above expression:
= 2 + 0.7742
= 2.7742
172/62 = 2.7742

Hence,
172/62 as a decimal is 2.7742
172/62 as a mixed number is 2 ²⁴/₃₁