189/180 as a Decimal and Mixed Number

189/180 as a decimal and mixed number expansion provides the detailed information about what is 189/180 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/180 as a Decimal
189/180 = 1.05
Hence,
189/180 as a decimal equals to 1.05
where,
189/180 is a given fraction,
The decimal expansion of 189/180 is 1.05

189/180 as a Mixed Number
189/180 = (180 + 9)/180
= 180/180 + 9/180
= 1 + 9/180
= 1 9/180
189/180 = 1 9/180

Hence,
189/180 as a mixed number is 1 ⁹/₁₈₀
where,
189/180 is a given fraction,
1 ⁹/₁₈₀ is the mixed number representation of 189/180.

The below work with steps provide the detailed information about how to convert fraction 189/180 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/180

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/180.

step 2 The numerator is greater than the denominator of the fraction 189/180, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/180
= 180 + 9/180

step 3 Make the above expression as individual fractions:
= 180/180 + 9/180

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


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

step 6 Simplify the above expression further:
= 1 + 0.05
= 1.05
189/180 = 1.05

Hence,
189/180 as a decimal is 1.05
189/180 as a mixed number is 1 ¹/₂₀