16/11 as a Decimal and Mixed Number

16/11 as a decimal and mixed number expansion provides the detailed information about what is 16/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

16/11 as a Decimal Expansion
16/11 = 1.4545
Hence,
16/11 as a decimal equals to 1.4545
where,
16/11 is a given fraction,
The decimal expansion of 16/11 is 1.4545

16/11 as a Mixed Number
16/11 = (11 + 5)/11
= 11/11 + 5/11
= 1 + 5/11
= 1 5/11
16/11 = 1 5/11

Hence,
16/11 as a mixed number is 1 ⁵/₁₁
where,
16/11 is a given fraction,
1 ⁵/₁₁ is the mixed number representation of 16/11.

The below work with steps provide the detailed information about how to convert fraction 16/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 16/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 16/11.

step 2 The numerator is greater than the denominator of the fraction 16/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 16/11
= 11 + 5/11

step 3 Make the above expression as individual fractions:
= 11/11 + 5/11

step 4 Simplify the above expression:
= 1 x 11/11 + 5/11
= 1 + 5/11
1 + 5/11 can be written as a mixed number 1 ⁵/₁₁.


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

step 6 Simplify the above expression further:
= 1 + (500/11 x 1/100)
= 1 + (495 + 5/11 x 1/100)
= 1 + [(495/11 + 5/11 ) x 1/100]
= 1 + [(45 + 5/11) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/11 in the above expression:
= 1 + [(45 + 5/11) x 1/100]
= 1 + [(45 + 0.45) x 1/100]
= 1 + (45.45 x 1/100)
= 1 + 45.45/100
= 1 + 0.4545

step 8 Find the sum of above expression:
= 1 + 0.4545
= 1.4545
16/11 = 1.4545

Hence,
16/11 as a decimal is 1.4545
16/11 as a mixed number is 1 ⁵/₁₁