59/11 as a Decimal and Mixed Number

59/11 as a decimal and mixed number expansion provides the detailed information about what is 59/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

59/11 as a Decimal Expansion
59/11 = 5.3636
Hence,
59/11 as a decimal equals to 5.3636
where,
59/11 is a given fraction,
The decimal expansion of 59/11 is 5.3636

59/11 as a Mixed Number
59/11 = (55 + 4)/11
= 55/11 + 4/11
= 5 + 4/11
= 5 4/11
59/11 = 5 4/11

Hence,
59/11 as a mixed number is 5 ⁴/₁₁
where,
59/11 is a given fraction,
5 ⁴/₁₁ is the mixed number representation of 59/11.

The below work with steps provide the detailed information about how to convert fraction 59/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 59/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 59/11.

step 2 The numerator is greater than the denominator of the fraction 59/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 59/11
= 55 + 4/11
= (5 x 11) + 4/11

step 3 Make the above expression as individual fractions:
= (5 x 11)/11 + 4/11

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


step 5 Find the decimal equivalent for the fractional part 4/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 4/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 4/11.
= 5 + (4/11 x 100/100)

step 6 Simplify the above expression further:
= 5 + (400/11 x 1/100)
= 5 + (396 + 4/11 x 1/100)
= 5 + [(396/11 + 4/11 ) x 1/100]
= 5 + [(36 + 4/11) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/11 in the above expression:
= 5 + [(36 + 4/11) x 1/100]
= 5 + [(36 + 0.36) x 1/100]
= 5 + (36.36 x 1/100)
= 5 + 36.36/100
= 5 + 0.3636

step 8 Find the sum of above expression:
= 5 + 0.3636
= 5.3636
59/11 = 5.3636

Hence,
59/11 as a decimal is 5.3636
59/11 as a mixed number is 5 ⁴/₁₁