23/11 as a Decimal and Mixed Number
23/11 as a decimal and mixed number expansion provides the detailed information about what is 23/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
23/11 as a Decimal Expansion
23/11 = 2.0909
Hence,
23/11 as a decimal equals to 2.0909
where,
23/11 is a given fraction,
The decimal expansion of 23/11 is 2.0909
23/11 as a Mixed Number
23/11 = (22 + 1)/11
= 22/11 + 1/11
= 2 + 1/11
= 2 1/11
23/11 = 2 1/11
Hence,
23/11 as a mixed number is 2 1/11
where,
23/11 is a given fraction,
2 1/11 is the mixed number representation of 23/11.
How-to: 23/11 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 23/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 23/11
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 23/11.
step 2 The numerator is greater than the denominator of the fraction 23/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 23/11
= 22 + 1/11
= (2 x 11) + 1/11
step 3 Make the above expression as individual fractions:
= (2 x 11)/11 + 1/11
step 4 Simplify the above expression:
= 2 x 11/11 + 1/11
= 2 + 1/11
2 + 1/11 can be written as a mixed number 2 1/11.
step 5 Find the decimal equivalent for the fractional part 1/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 1/11.
= 2 + (1/11 x 100/100)
step 6 Simplify the above expression further:
= 2 + (100/11 x 1/100)
= 2 + (99 + 1/11 x 1/100)
= 2 + [(99/11 + 1/11 ) x 1/100]
= 2 + [(9 + 1/11) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/11 in the above expression:
= 2 + [(9 + 1/11) x 1/100]
= 2 + [(9 + 0.09) x 1/100]
= 2 + (9.09 x 1/100)
= 2 + 9.09/100
= 2 + 0.0909
step 8 Find the sum of above expression:
= 2 + 0.0909
= 2.0909
23/11 = 2.0909
Hence,
23/11 as a decimal is 2.0909
23/11 as a mixed number is 2 1/11