204/60 as a Decimal and Mixed Number

204/60 as a decimal and mixed number expansion provides the detailed information about what is 204/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/60 as a Decimal
204/60 = 3.4
Hence,
204/60 as a decimal equals to 3.4
where,
204/60 is a given fraction,
The decimal expansion of 204/60 is 3.4

204/60 as a Mixed Number
204/60 = (180 + 24)/60
= 180/60 + 24/60
= 3 + 24/60
= 3 24/60
204/60 = 3 24/60

Hence,
204/60 as a mixed number is 3 ²⁴/₆₀
where,
204/60 is a given fraction,
3 ²⁴/₆₀ is the mixed number representation of 204/60.

The below work with steps provide the detailed information about how to convert fraction 204/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/60.

step 2 The numerator is greater than the denominator of the fraction 204/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/60
= 180 + 24/60
= (3 x 60) + 24/60

step 3 Make the above expression as individual fractions:
= (3 x 60)/60 + 24/60

step 4 Simplify the above expression:
= 3 x 60/60 + 24/60
= 3 + 24/60
= 3 + 2 x 12/5 x 12
= 3 + 2/5
3 + 2/5 can be written as a mixed number 3 ²/₅.


step 5 Find the decimal equivalent for the fractional part 2/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (2/5 x 2/2)
= 3 + 4/10

step 6 Simplify the above expression further:
= 3 + 0.4
= 3.4
204/60 = 3.4

Hence,
204/60 as a decimal is 3.4
204/60 as a mixed number is 3 ²/₅