240/253 as a decimal expansion provides the detailed information about what is 240/253 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
240/253 as a Decimal
240/253 = 0.9486
Hence,
240/253 as a decimal equals to 0.9486
where,
240/253 is a given fraction,
The decimal expansion of 240/253 is 0.9486
240/253 as a Mixed Number
The given fraction 240/253 can't be represented as a mixed number since the numerator 240 of the given fraction is smaller than the denominator 253.
The below work with steps provide the detailed information about how to convert fraction 240/253 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 240/253
What to be found:
Find the decimal expansion of fraction 240/253.
step 2 The numerator is smaller than the denominator of the fraction 240/253, 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 240/253.
= 240/253 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 240/253 x 1/10
= 2400/253 x 1/10
step 4 Simplify the above expression further:
= 2400/253 x 1/10
= 2277 + 123/253 x 1/10
= ( 2277/253 + 123/253) x 1/10
= (9 + 123/253 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 123/253 in the above expression:
= (9 + 123/253 ) x 1/10
= (9 + 0.486) x 1/10
step 6 Simplify the above expression further:
= (9 + 0.486) x 1/10
= 9.486 x 1/10
= 9.486/10
240/253= 0.9486
Hence,
240/253 as a decimal is 0.9486