297/60 as a Decimal and Mixed Number

297/60 as a decimal and mixed number expansion provides the detailed information about what is 297/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

297/60 as a Decimal
297/60 = 4.95
Hence,
297/60 as a decimal equals to 4.95
where,
297/60 is a given fraction,
The decimal expansion of 297/60 is 4.95

297/60 as a Mixed Number
297/60 = (240 + 57)/60
= 240/60 + 57/60
= 4 + 57/60
= 4 57/60
297/60 = 4 57/60

Hence,
297/60 as a mixed number is 4 ⁵⁷/₆₀
where,
297/60 is a given fraction,
4 ⁵⁷/₆₀ is the mixed number representation of 297/60.

The below work with steps provide the detailed information about how to convert fraction 297/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 297/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 297/60.

step 2 The numerator is greater than the denominator of the fraction 297/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 297/60
= 240 + 57/60
= (4 x 60) + 57/60

step 3 Make the above expression as individual fractions:
= (4 x 60)/60 + 57/60

step 4 Simplify the above expression:
= 4 x 60/60 + 57/60
= 4 + 57/60
= 4 + 19 x 3/20 x 3
= 4 + 19/20
4 + 19/20 can be written as a mixed number 4 ¹⁹/₂₀.


step 5 Find the decimal equivalent for the fractional part 19/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 4 + (19/20 x 5/5)
= 4 + 95/100

step 6 Simplify the above expression further:
= 4 + 0.95
= 4.95
297/60 = 4.95

Hence,
297/60 as a decimal is 4.95
297/60 as a mixed number is 4 ¹⁹/₂₀