147/60 as a Decimal and Mixed Number

147/60 as a decimal and mixed number expansion provides the detailed information about what is 147/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

147/60 as a Decimal
147/60 = 2.45
Hence,
147/60 as a decimal equals to 2.45
where,
147/60 is a given fraction,
The decimal expansion of 147/60 is 2.45

147/60 as a Mixed Number
147/60 = (120 + 27)/60
= 120/60 + 27/60
= 2 + 27/60
= 2 27/60
147/60 = 2 27/60

Hence,
147/60 as a mixed number is 2 ²⁷/₆₀
where,
147/60 is a given fraction,
2 ²⁷/₆₀ is the mixed number representation of 147/60.

The below work with steps provide the detailed information about how to convert fraction 147/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 147/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 147/60.

step 2 The numerator is greater than the denominator of the fraction 147/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 147/60
= 120 + 27/60
= (2 x 60) + 27/60

step 3 Make the above expression as individual fractions:
= (2 x 60)/60 + 27/60

step 4 Simplify the above expression:
= 2 x 60/60 + 27/60
= 2 + 27/60
= 2 + 9 x 3/20 x 3
= 2 + 9/20
2 + 9/20 can be written as a mixed number 2 ⁹/₂₀.


step 5 Find the decimal equivalent for the fractional part 9/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 2 + (9/20 x 5/5)
= 2 + 45/100

step 6 Simplify the above expression further:
= 2 + 0.45
= 2.45
147/60 = 2.45

Hence,
147/60 as a decimal is 2.45
147/60 as a mixed number is 2 ⁹/₂₀