80/11 as a Decimal and Mixed Number

80/11 as a decimal and mixed number expansion provides the detailed information about what is 80/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

80/11 as a Decimal Expansion
80/11 = 7.2727
Hence,
80/11 as a decimal equals to 7.2727
where,
80/11 is a given fraction,
The decimal expansion of 80/11 is 7.2727

80/11 as a Mixed Number
80/11 = (77 + 3)/11
= 77/11 + 3/11
= 7 + 3/11
= 7 3/11
80/11 = 7 3/11

Hence,
80/11 as a mixed number is 7 ³/₁₁
where,
80/11 is a given fraction,
7 ³/₁₁ is the mixed number representation of 80/11.

The below work with steps provide the detailed information about how to convert fraction 80/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 80/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 80/11.

step 2 The numerator is greater than the denominator of the fraction 80/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 80/11
= 77 + 3/11
= (7 x 11) + 3/11

step 3 Make the above expression as individual fractions:
= (7 x 11)/11 + 3/11

step 4 Simplify the above expression:
= 7 x 11/11 + 3/11
= 7 + 3/11
7 + 3/11 can be written as a mixed number 7 ³/₁₁.


step 5 Find the decimal equivalent for the fractional part 3/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 3/11.
= 7 + (3/11 x 100/100)

step 6 Simplify the above expression further:
= 7 + (300/11 x 1/100)
= 7 + (297 + 3/11 x 1/100)
= 7 + [(297/11 + 3/11 ) x 1/100]
= 7 + [(27 + 3/11) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 3/11 in the above expression:
= 7 + [(27 + 3/11) x 1/100]
= 7 + [(27 + 0.27) x 1/100]
= 7 + (27.27 x 1/100)
= 7 + 27.27/100
= 7 + 0.2727

step 8 Find the sum of above expression:
= 7 + 0.2727
= 7.2727
80/11 = 7.2727

Hence,
80/11 as a decimal is 7.2727
80/11 as a mixed number is 7 ³/₁₁