297/66 as a Decimal and Mixed Number

297/66 as a decimal and mixed number expansion provides the detailed information about what is 297/66 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

297/66 as a Decimal
297/66 = 4.5
Hence,
297/66 as a decimal equals to 4.5
where,
297/66 is a given fraction,
The decimal expansion of 297/66 is 4.5

297/66 as a Mixed Number
297/66 = (264 + 33)/66
= 264/66 + 33/66
= 4 + 33/66
= 4 33/66
297/66 = 4 33/66

Hence,
297/66 as a mixed number is 4 ³³/₆₆
where,
297/66 is a given fraction,
4 ³³/₆₆ is the mixed number representation of 297/66.

The below work with steps provide the detailed information about how to convert fraction 297/66 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 297/66

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 297/66.

step 2 The numerator is greater than the denominator of the fraction 297/66, so write the given fraction in the expression form in terms of denominator as like the below:
= 297/66
= 264 + 33/66
= (4 x 66) + 33/66

step 3 Make the above expression as individual fractions:
= (4 x 66)/66 + 33/66

step 4 Simplify the above expression:
= 4 x 66/66 + 33/66
= 4 + 33/66
= 4 + 1 x 33/2 x 33
= 4 + 1/2
4 + 1/2 can be written as a mixed number 4 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 4 + (1/2 x 5/5)
= 4 + 5/10

step 6 Simplify the above expression further:
= 4 + 0.5
= 4.5
297/66 = 4.5

Hence,
297/66 as a decimal is 4.5
297/66 as a mixed number is 4 ¹/₂