225/270 as a decimal expansion provides the detailed information about what is 225/270 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
225/270 as a Decimal
225/270 = 0.8333
Hence,
225/270 as a decimal equals to 0.8333
where,
225/270 is a given fraction,
The decimal expansion of 225/270 is 0.8333
225/270 as a Mixed Number
The given fraction 225/270 can't be represented as a mixed number since the numerator 225 of the given fraction is smaller than the denominator 270.
The below work with steps provide the detailed information about how to convert fraction 225/270 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 225/270
What to be found:
Find the decimal expansion of fraction 225/270.
step 2 The numerator is smaller than the denominator of the fraction 225/270, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 225/270.
= 225/270 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 225/270 x 1/10
= 2250/270 x 1/10
step 4 Simplify the above expression further:
= 2250/270 x 1/10
= 2160 + 90/270 x 1/10
= ( 2160/270 + 90/270) x 1/10
= (8 + 90/270 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 90/270 in the above expression:
= (8 + 90/270 ) x 1/10
= (8 + 0.333) x 1/10
step 6 Simplify the above expression further:
= (8 + 0.333) x 1/10
= 8.333 x 1/10
= 8.333/10
225/270= 0.8333
Hence,
225/270 as a decimal is 0.8333