172/60 as a Decimal and Mixed Number

172/60 as a decimal and mixed number expansion provides the detailed information about what is 172/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

172/60 as a Decimal
172/60 = 2.8667
Hence,
172/60 as a decimal equals to 2.8667
where,
172/60 is a given fraction,
The decimal expansion of 172/60 is 2.8667

172/60 as a Mixed Number
172/60 = (120 + 52)/60
= 120/60 + 52/60
= 2 + 52/60
= 2 52/60
172/60 = 2 52/60

Hence,
172/60 as a mixed number is 2 ⁵²/₆₀
where,
172/60 is a given fraction,
2 ⁵²/₆₀ is the mixed number representation of 172/60.

The below work with steps provide the detailed information about how to convert fraction 172/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 172/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 172/60.

step 2 The numerator is greater than the denominator of the fraction 172/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 172/60
= 120 + 52/60
= (2 x 60) + 52/60

step 3 Make the above expression as individual fractions:
= (2 x 60)/60 + 52/60

step 4 Simplify the above expression:
= 2 x 60/60 + 52/60
= 2 + 52/60
= 2 + 13 x 4/15 x 4
= 2 + 13/15
2 + 13/15 can be written as a mixed number 2 ¹³/₁₅.


step 5 Find the decimal equivalent for the fractional part 13/15 in the above expression:
= 2 + 0.8667
= 2.8667
172/60 = 2.8667

Hence,
172/60 as a decimal is 2.8667
172/60 as a mixed number is 2 ¹³/₁₅