20/11 as a Decimal and Mixed Number

20/11 as a decimal and mixed number expansion provides the detailed information about what is 20/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

20/11 as a Decimal Expansion
20/11 = 1.8182
Hence,
20/11 as a decimal equals to 1.8182
where,
20/11 is a given fraction,
The decimal expansion of 20/11 is 1.8182

20/11 as a Mixed Number
20/11 = (11 + 9)/11
= 11/11 + 9/11
= 1 + 9/11
= 1 9/11
20/11 = 1 9/11

Hence,
20/11 as a mixed number is 1 ⁹/₁₁
where,
20/11 is a given fraction,
1 ⁹/₁₁ is the mixed number representation of 20/11.

The below work with steps provide the detailed information about how to convert fraction 20/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 20/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 20/11.

step 2 The numerator is greater than the denominator of the fraction 20/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 20/11
= 11 + 9/11

step 3 Make the above expression as individual fractions:
= 11/11 + 9/11

step 4 Simplify the above expression:
= 1 x 11/11 + 9/11
= 1 + 9/11
1 + 9/11 can be written as a mixed number 1 ⁹/₁₁.


step 5 Find the decimal equivalent for the fractional part 9/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 9/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 9/11.
= 1 + (9/11 x 100/100)

step 6 Simplify the above expression further:
= 1 + (900/11 x 1/100)
= 1 + (891 + 9/11 x 1/100)
= 1 + [(891/11 + 9/11 ) x 1/100]
= 1 + [(81 + 9/11) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 9/11 in the above expression:
= 1 + [(81 + 9/11) x 1/100]
= 1 + [(81 + 0.82) x 1/100]
= 1 + (81.82 x 1/100)
= 1 + 81.82/100
= 1 + 0.8182

step 8 Find the sum of above expression:
= 1 + 0.8182
= 1.8182
20/11 = 1.8182

Hence,
20/11 as a decimal is 1.8182
20/11 as a mixed number is 1 ⁹/₁₁