324/60 as a Decimal and Mixed Number

324/60 as a decimal and mixed number expansion provides the detailed information about what is 324/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

324/60 as a Decimal
324/60 = 5.4
Hence,
324/60 as a decimal equals to 5.4
where,
324/60 is a given fraction,
The decimal expansion of 324/60 is 5.4

324/60 as a Mixed Number
324/60 = (300 + 24)/60
= 300/60 + 24/60
= 5 + 24/60
= 5 24/60
324/60 = 5 24/60

Hence,
324/60 as a mixed number is 5 ²⁴/₆₀
where,
324/60 is a given fraction,
5 ²⁴/₆₀ is the mixed number representation of 324/60.

The below work with steps provide the detailed information about how to convert fraction 324/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 324/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 324/60.

step 2 The numerator is greater than the denominator of the fraction 324/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 324/60
= 300 + 24/60
= (5 x 60) + 24/60

step 3 Make the above expression as individual fractions:
= (5 x 60)/60 + 24/60

step 4 Simplify the above expression:
= 5 x 60/60 + 24/60
= 5 + 24/60
= 5 + 2 x 12/5 x 12
= 5 + 2/5
5 + 2/5 can be written as a mixed number 5 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:
= 5 + (2/5 x 2/2)
= 5 + 4/10

step 6 Simplify the above expression further:
= 5 + 0.4
= 5.4
324/60 = 5.4

Hence,
324/60 as a decimal is 5.4
324/60 as a mixed number is 5 ²/₅