297/180 as a Decimal and Mixed Number

297/180 as a decimal and mixed number expansion provides the detailed information about what is 297/180 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

297/180 as a Decimal
297/180 = 1.65
Hence,
297/180 as a decimal equals to 1.65
where,
297/180 is a given fraction,
The decimal expansion of 297/180 is 1.65

297/180 as a Mixed Number
297/180 = (180 + 117)/180
= 180/180 + 117/180
= 1 + 117/180
= 1 117/180
297/180 = 1 117/180

Hence,
297/180 as a mixed number is 1 ¹¹⁷/₁₈₀
where,
297/180 is a given fraction,
1 ¹¹⁷/₁₈₀ is the mixed number representation of 297/180.

The below work with steps provide the detailed information about how to convert fraction 297/180 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 297/180

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 297/180.

step 2 The numerator is greater than the denominator of the fraction 297/180, so write the given fraction in the expression form in terms of denominator as like the below:
= 297/180
= 180 + 117/180

step 3 Make the above expression as individual fractions:
= 180/180 + 117/180

step 4 Simplify the above expression:
= 1 x 180/180 + 117/180
= 1 + 117/180
= 1 + 13 x 9/20 x 9
= 1 + 13/20
1 + 13/20 can be written as a mixed number 1 ¹³/₂₀.


step 5 Find the decimal equivalent for the fractional part 13/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (13/20 x 5/5)
= 1 + 65/100

step 6 Simplify the above expression further:
= 1 + 0.65
= 1.65
297/180 = 1.65

Hence,
297/180 as a decimal is 1.65
297/180 as a mixed number is 1 ¹³/₂₀