297/135 as a Decimal and Mixed Number

297/135 as a decimal and mixed number expansion provides the detailed information about what is 297/135 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

297/135 as a Decimal
297/135 = 2.2
Hence,
297/135 as a decimal equals to 2.2
where,
297/135 is a given fraction,
The decimal expansion of 297/135 is 2.2

297/135 as a Mixed Number
297/135 = (270 + 27)/135
= 270/135 + 27/135
= 2 + 27/135
= 2 27/135
297/135 = 2 27/135

Hence,
297/135 as a mixed number is 2 ²⁷/₁₃₅
where,
297/135 is a given fraction,
2 ²⁷/₁₃₅ is the mixed number representation of 297/135.

The below work with steps provide the detailed information about how to convert fraction 297/135 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 297/135

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 297/135.

step 2 The numerator is greater than the denominator of the fraction 297/135, so write the given fraction in the expression form in terms of denominator as like the below:
= 297/135
= 270 + 27/135
= (2 x 135) + 27/135

step 3 Make the above expression as individual fractions:
= (2 x 135)/135 + 27/135

step 4 Simplify the above expression:
= 2 x 135/135 + 27/135
= 2 + 27/135
= 2 + 1 x 27/5 x 27
= 2 + 1/5
2 + 1/5 can be written as a mixed number 2 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:
= 2 + (1/5 x 2/2)
= 2 + 2/10

step 6 Simplify the above expression further:
= 2 + 0.2
= 2.2
297/135 = 2.2

Hence,
297/135 as a decimal is 2.2
297/135 as a mixed number is 2 ¹/₅