297/44 as a Decimal and Mixed Number

297/44 as a decimal and mixed number expansion provides the detailed information about what is 297/44 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

297/44 as a Decimal
297/44 = 6.75
Hence,
297/44 as a decimal equals to 6.75
where,
297/44 is a given fraction,
The decimal expansion of 297/44 is 6.75

297/44 as a Mixed Number
297/44 = (264 + 33)/44
= 264/44 + 33/44
= 6 + 33/44
= 6 33/44
297/44 = 6 33/44

Hence,
297/44 as a mixed number is 6 ³³/₄₄
where,
297/44 is a given fraction,
6 ³³/₄₄ is the mixed number representation of 297/44.

The below work with steps provide the detailed information about how to convert fraction 297/44 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 297/44

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 297/44.

step 2 The numerator is greater than the denominator of the fraction 297/44, so write the given fraction in the expression form in terms of denominator as like the below:
= 297/44
= 264 + 33/44
= (6 x 44) + 33/44

step 3 Make the above expression as individual fractions:
= (6 x 44)/44 + 33/44

step 4 Simplify the above expression:
= 6 x 44/44 + 33/44
= 6 + 33/44
= 6 + 3 x 11/4 x 11
= 6 + 3/4
6 + 3/4 can be written as a mixed number 6 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 6 + (3/4 x 25/25)
= 6 + 75/100

step 6 Simplify the above expression further:
= 6 + 0.75
= 6.75
297/44 = 6.75

Hence,
297/44 as a decimal is 6.75
297/44 as a mixed number is 6 ³/₄