7/11 as a Decimal

7/11 as a decimal expansion provides the detailed information about what is 7/11 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

7/11 as a Decimal Expansion
7/11 = 0.6364
Hence,
7/11 as a decimal equals to 0.6364
where,
7/11 is a given fraction,
The decimal expansion of 7/11 is 0.6364

7/11 as a Mixed Number
The given fraction 7/11 can't be represented as a mixed number since the numerator 7 of the given fraction is smaller than the denominator 11.

The below work with steps provide the detailed information about how to convert fraction 7/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 7/11

What to be found:
Find the decimal expansion of fraction 7/11.

step 2 The numerator is smaller than the denominator of the fraction 7/11, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 7/11.
= 7/11 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 7/11 x 1/100
= 700/11 x 1/100

step 4 Simplify the above expression further:
= 700/11 x 1/100
= 693 + 7/11 x 1/100
= ( 693/11 + 7/11) x 1/100
= (63 + 7/11 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 7/11 in the above expression:
= (63 + 7/11 ) x 1/100
= (63 + 0.636) x 1/100

step 6 Simplify the above expression further:
= (63 + 0.636) x 1/100
= 63.636 x 1/100
= 63.636/100
7/11= 0.63636

Hence,
7/11 as a decimal is 0.63636