1/225 as a Decimal

1/225 as a decimal expansion provides the detailed information about what is 1/225 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

1/225 as a Decimal
1/225 = 0.0044
Hence,
1/225 as a decimal equals to 0.0044
where,
1/225 is a given fraction,
The decimal expansion of 1/225 is 0.0044

1/225 as a Mixed Number
The given fraction 1/225 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 225.

The below work with steps provide the detailed information about how to convert fraction 1/225 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 1/225

What to be found:
Find the decimal expansion of fraction 1/225.

step 2 The numerator is smaller than the denominator of the fraction 1/225, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 2 more digits than the numerator, multiply 1000 with both numerator and denominator of 1/225.
= 1/225 x 1000/1000

step 3 Rearrange the fraction as like the below:
= 1000/225 x 1/1000

step 4 Simplify the above expression further:
= 1000/225 x 1/1000
= 900 + 100/225 x 1/1000
= ( 900/225 + 100/225) x 1/1000
= (4 + 100/225 ) x 1/1000

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 100/225 in the above expression:
= (4 + 100/225 ) x 1/1000
= (4 + 0.444) x 1/1000

step 6 Simplify the above expression further:
= (4 + 0.444) x 1/1000
= 4.444 x 1/1000
= 4.444/1000
1/225= 0.004444

Hence,
1/225 as a decimal is 0.004444