11/53 as a Decimal
11/53 as a decimal expansion provides the detailed information about what is 11/53 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
11/53 as a Decimal Expansion
11/53 = 0.2075
Hence,
11/53 as a decimal equals to 0.2075
where,
11/53 is a given fraction,
The decimal expansion of 11/53 is 0.2075
11/53 as a Mixed Number
The given fraction 11/53 can't be represented as a mixed number since the numerator 11 of the given fraction is smaller than the denominator 53.
How-to: 11/53 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 11/53 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 11/53
What to be found:
Find the decimal expansion of fraction 11/53.
step 2 The numerator is smaller than the denominator of the fraction 11/53, 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 11/53.
= 11/53 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 11/53 x 1/10
= 110/53 x 1/10
step 4 Simplify the above expression further:
= 110/53 x 1/10
= 106 + 4/53 x 1/10
= ( 106/53 + 4/53) x 1/10
= (2 + 4/53 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 4/53 in the above expression:
= (2 + 4/53 ) x 1/10
= (2 + 0.075) x 1/10
step 6 Simplify the above expression further:
= (2 + 0.075) x 1/10
= 2.075 x 1/10
= 2.075/10
11/53= 0.2075
Hence,
11/53 as a decimal is 0.2075
