21/180 as a Decimal

21/180 as a decimal expansion provides the detailed information about what is 21/180 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

21/180 as a Decimal
21/180 = 0.1167
Hence,
21/180 as a decimal equals to 0.1167
where,
21/180 is a given fraction,
The decimal expansion of 21/180 is 0.1167

21/180 as a Mixed Number
The given fraction 21/180 can't be represented as a mixed number since the numerator 21 of the given fraction is smaller than the denominator 180.

The below work with steps provide the detailed information about how to convert fraction 21/180 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 21/180

What to be found:
Find the decimal expansion of fraction 21/180.

step 2 The numerator is smaller than the denominator of the fraction 21/180, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 21/180.
= 21/180 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 21/180 x 1/100
= 2100/180 x 1/100

step 4 Simplify the above expression further:
= 2100/180 x 1/100
= 1980 + 120/180 x 1/100
= ( 1980/180 + 120/180) x 1/100
= (11 + 120/180 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 120/180 in the above expression:
= (11 + 120/180 ) x 1/100
= (11 + 0.667) x 1/100

step 6 Simplify the above expression further:
= (11 + 0.667) x 1/100
= 11.667 x 1/100
= 11.667/100
21/180= 0.11667

Hence,
21/180 as a decimal is 0.11667