19/11 as a Decimal and Mixed Number

19/11 as a decimal and mixed number expansion provides the detailed information about what is 19/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

19/11 as a Decimal Expansion
19/11 = 1.7273
Hence,
19/11 as a decimal equals to 1.7273
where,
19/11 is a given fraction,
The decimal expansion of 19/11 is 1.7273

19/11 as a Mixed Number
19/11 = (11 + 8)/11
= 11/11 + 8/11
= 1 + 8/11
= 1 8/11
19/11 = 1 8/11

Hence,
19/11 as a mixed number is 1 ⁸/₁₁
where,
19/11 is a given fraction,
1 ⁸/₁₁ is the mixed number representation of 19/11.

The below work with steps provide the detailed information about how to convert fraction 19/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 19/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 19/11.

step 2 The numerator is greater than the denominator of the fraction 19/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 19/11
= 11 + 8/11

step 3 Make the above expression as individual fractions:
= 11/11 + 8/11

step 4 Simplify the above expression:
= 1 x 11/11 + 8/11
= 1 + 8/11
1 + 8/11 can be written as a mixed number 1 ⁸/₁₁.


step 5 Find the decimal equivalent for the fractional part 8/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 8/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 8/11.
= 1 + (8/11 x 100/100)

step 6 Simplify the above expression further:
= 1 + (800/11 x 1/100)
= 1 + (792 + 8/11 x 1/100)
= 1 + [(792/11 + 8/11 ) x 1/100]
= 1 + [(72 + 8/11) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 8/11 in the above expression:
= 1 + [(72 + 8/11) x 1/100]
= 1 + [(72 + 0.73) x 1/100]
= 1 + (72.73 x 1/100)
= 1 + 72.73/100
= 1 + 0.7273

step 8 Find the sum of above expression:
= 1 + 0.7273
= 1.7273
19/11 = 1.7273

Hence,
19/11 as a decimal is 1.7273
19/11 as a mixed number is 1 ⁸/₁₁