17/11 as a Decimal and Mixed Number

17/11 as a decimal and mixed number expansion provides the detailed information about what is 17/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

17/11 as a Decimal Expansion
17/11 = 1.5455
Hence,
17/11 as a decimal equals to 1.5455
where,
17/11 is a given fraction,
The decimal expansion of 17/11 is 1.5455

17/11 as a Mixed Number
17/11 = (11 + 6)/11
= 11/11 + 6/11
= 1 + 6/11
= 1 6/11
17/11 = 1 6/11

Hence,
17/11 as a mixed number is 1 ⁶/₁₁
where,
17/11 is a given fraction,
1 ⁶/₁₁ is the mixed number representation of 17/11.

The below work with steps provide the detailed information about how to convert fraction 17/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 17/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 17/11.

step 2 The numerator is greater than the denominator of the fraction 17/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 17/11
= 11 + 6/11

step 3 Make the above expression as individual fractions:
= 11/11 + 6/11

step 4 Simplify the above expression:
= 1 x 11/11 + 6/11
= 1 + 6/11
1 + 6/11 can be written as a mixed number 1 ⁶/₁₁.


step 5 Find the decimal equivalent for the fractional part 6/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 6/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 6/11.
= 1 + (6/11 x 100/100)

step 6 Simplify the above expression further:
= 1 + (600/11 x 1/100)
= 1 + (594 + 6/11 x 1/100)
= 1 + [(594/11 + 6/11 ) x 1/100]
= 1 + [(54 + 6/11) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 6/11 in the above expression:
= 1 + [(54 + 6/11) x 1/100]
= 1 + [(54 + 0.55) x 1/100]
= 1 + (54.55 x 1/100)
= 1 + 54.55/100
= 1 + 0.5455

step 8 Find the sum of above expression:
= 1 + 0.5455
= 1.5455
17/11 = 1.5455

Hence,
17/11 as a decimal is 1.5455
17/11 as a mixed number is 1 ⁶/₁₁