216/60 as a Decimal and Mixed Number

216/60 as a decimal and mixed number expansion provides the detailed information about what is 216/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

216/60 as a Decimal
216/60 = 3.6
Hence,
216/60 as a decimal equals to 3.6
where,
216/60 is a given fraction,
The decimal expansion of 216/60 is 3.6

216/60 as a Mixed Number
216/60 = (180 + 36)/60
= 180/60 + 36/60
= 3 + 36/60
= 3 36/60
216/60 = 3 36/60

Hence,
216/60 as a mixed number is 3 ³⁶/₆₀
where,
216/60 is a given fraction,
3 ³⁶/₆₀ is the mixed number representation of 216/60.

The below work with steps provide the detailed information about how to convert fraction 216/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 216/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 216/60.

step 2 The numerator is greater than the denominator of the fraction 216/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 216/60
= 180 + 36/60
= (3 x 60) + 36/60

step 3 Make the above expression as individual fractions:
= (3 x 60)/60 + 36/60

step 4 Simplify the above expression:
= 3 x 60/60 + 36/60
= 3 + 36/60
= 3 + 3 x 12/5 x 12
= 3 + 3/5
3 + 3/5 can be written as a mixed number 3 ³/₅.


step 5 Find the decimal equivalent for the fractional part 3/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (3/5 x 2/2)
= 3 + 6/10

step 6 Simplify the above expression further:
= 3 + 0.6
= 3.6
216/60 = 3.6

Hence,
216/60 as a decimal is 3.6
216/60 as a mixed number is 3 ³/₅