207/60 as a Decimal and Mixed Number

207/60 as a decimal and mixed number expansion provides the detailed information about what is 207/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

207/60 as a Decimal
207/60 = 3.45
Hence,
207/60 as a decimal equals to 3.45
where,
207/60 is a given fraction,
The decimal expansion of 207/60 is 3.45

207/60 as a Mixed Number
207/60 = (180 + 27)/60
= 180/60 + 27/60
= 3 + 27/60
= 3 27/60
207/60 = 3 27/60

Hence,
207/60 as a mixed number is 3 ²⁷/₆₀
where,
207/60 is a given fraction,
3 ²⁷/₆₀ is the mixed number representation of 207/60.

The below work with steps provide the detailed information about how to convert fraction 207/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 207/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 207/60.

step 2 The numerator is greater than the denominator of the fraction 207/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 207/60
= 180 + 27/60
= (3 x 60) + 27/60

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

step 4 Simplify the above expression:
= 3 x 60/60 + 27/60
= 3 + 27/60
= 3 + 9 x 3/20 x 3
= 3 + 9/20
3 + 9/20 can be written as a mixed number 3 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:
= 3 + (9/20 x 5/5)
= 3 + 45/100

step 6 Simplify the above expression further:
= 3 + 0.45
= 3.45
207/60 = 3.45

Hence,
207/60 as a decimal is 3.45
207/60 as a mixed number is 3 ⁹/₂₀