207/180 as a Decimal and Mixed Number

207/180 as a decimal and mixed number expansion provides the detailed information about what is 207/180 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

207/180 as a Decimal
207/180 = 1.15
Hence,
207/180 as a decimal equals to 1.15
where,
207/180 is a given fraction,
The decimal expansion of 207/180 is 1.15

207/180 as a Mixed Number
207/180 = (180 + 27)/180
= 180/180 + 27/180
= 1 + 27/180
= 1 27/180
207/180 = 1 27/180

Hence,
207/180 as a mixed number is 1 ²⁷/₁₈₀
where,
207/180 is a given fraction,
1 ²⁷/₁₈₀ is the mixed number representation of 207/180.

The below work with steps provide the detailed information about how to convert fraction 207/180 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 207/180

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 207/180.

step 2 The numerator is greater than the denominator of the fraction 207/180, so write the given fraction in the expression form in terms of denominator as like the below:
= 207/180
= 180 + 27/180

step 3 Make the above expression as individual fractions:
= 180/180 + 27/180

step 4 Simplify the above expression:
= 1 x 180/180 + 27/180
= 1 + 27/180
= 1 + 3 x 9/20 x 9
= 1 + 3/20
1 + 3/20 can be written as a mixed number 1 ³/₂₀.


step 5 Find the decimal equivalent for the fractional part 3/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (3/20 x 5/5)
= 1 + 15/100

step 6 Simplify the above expression further:
= 1 + 0.15
= 1.15
207/180 = 1.15

Hence,
207/180 as a decimal is 1.15
207/180 as a mixed number is 1 ³/₂₀