48/55 as a Decimal
48/55 as a decimal expansion provides the detailed information about what is 48/55 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
48/55 as a Decimal Expansion
48/55 = 0.8727
Hence,
48/55 as a decimal equals to 0.8727
where,
48/55 is a given fraction,
The decimal expansion of 48/55 is 0.8727
48/55 as a Mixed Number
The given fraction 48/55 can't be represented as a mixed number since the numerator 48 of the given fraction is smaller than the denominator 55.
How-to: 48/55 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 48/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 48/55
What to be found:
Find the decimal expansion of fraction 48/55.
step 2 The numerator is smaller than the denominator of the fraction 48/55, 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 48/55.
= 48/55 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 48/55 x 1/10
= 480/55 x 1/10
step 4 Simplify the above expression further:
= 480/55 x 1/10
= 440 + 40/55 x 1/10
= ( 440/55 + 40/55) x 1/10
= (8 + 40/55 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 40/55 in the above expression:
= (8 + 40/55 ) x 1/10
= (8 + 0.727) x 1/10
step 6 Simplify the above expression further:
= (8 + 0.727) x 1/10
= 8.727 x 1/10
= 8.727/10
48/55= 0.8727
Hence,
48/55 as a decimal is 0.8727
