60/11 as a Decimal and Mixed Number

60/11 as a decimal and mixed number expansion provides the detailed information about what is 60/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

60/11 as a Decimal Expansion
60/11 = 5.4545
Hence,
60/11 as a decimal equals to 5.4545
where,
60/11 is a given fraction,
The decimal expansion of 60/11 is 5.4545

60/11 as a Mixed Number
60/11 = (55 + 5)/11
= 55/11 + 5/11
= 5 + 5/11
= 5 5/11
60/11 = 5 5/11

Hence,
60/11 as a mixed number is 5 ⁵/₁₁
where,
60/11 is a given fraction,
5 ⁵/₁₁ is the mixed number representation of 60/11.

The below work with steps provide the detailed information about how to convert fraction 60/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 60/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 60/11.

step 2 The numerator is greater than the denominator of the fraction 60/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 60/11
= 55 + 5/11
= (5 x 11) + 5/11

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

step 4 Simplify the above expression:
= 5 x 11/11 + 5/11
= 5 + 5/11
5 + 5/11 can be written as a mixed number 5 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.
= 5 + (5/11 x 100/100)

step 6 Simplify the above expression further:
= 5 + (500/11 x 1/100)
= 5 + (495 + 5/11 x 1/100)
= 5 + [(495/11 + 5/11 ) x 1/100]
= 5 + [(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:
= 5 + [(45 + 5/11) x 1/100]
= 5 + [(45 + 0.45) x 1/100]
= 5 + (45.45 x 1/100)
= 5 + 45.45/100
= 5 + 0.4545

step 8 Find the sum of above expression:
= 5 + 0.4545
= 5.4545
60/11 = 5.4545

Hence,
60/11 as a decimal is 5.4545
60/11 as a mixed number is 5 ⁵/₁₁