312/60 as a Decimal and Mixed Number

312/60 as a decimal and mixed number expansion provides the detailed information about what is 312/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

312/60 as a Decimal
312/60 = 5.2
Hence,
312/60 as a decimal equals to 5.2
where,
312/60 is a given fraction,
The decimal expansion of 312/60 is 5.2

312/60 as a Mixed Number
312/60 = (300 + 12)/60
= 300/60 + 12/60
= 5 + 12/60
= 5 12/60
312/60 = 5 12/60

Hence,
312/60 as a mixed number is 5 ¹²/₆₀
where,
312/60 is a given fraction,
5 ¹²/₆₀ is the mixed number representation of 312/60.

The below work with steps provide the detailed information about how to convert fraction 312/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/60.

step 2 The numerator is greater than the denominator of the fraction 312/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 312/60
= 300 + 12/60
= (5 x 60) + 12/60

step 3 Make the above expression as individual fractions:
= (5 x 60)/60 + 12/60

step 4 Simplify the above expression:
= 5 x 60/60 + 12/60
= 5 + 12/60
= 5 + 1 x 12/5 x 12
= 5 + 1/5
5 + 1/5 can be written as a mixed number 5 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 5 + (1/5 x 2/2)
= 5 + 2/10

step 6 Simplify the above expression further:
= 5 + 0.2
= 5.2
312/60 = 5.2

Hence,
312/60 as a decimal is 5.2
312/60 as a mixed number is 5 ¹/₅