71/6 as a Decimal and Mixed Number

71/6 as a decimal and mixed number expansion provides the detailed information about what is 71/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

71/6 as a Decimal
71/6 = 11.8333
Hence,
71/6 as a decimal equals to 11.8333
where,
71/6 is a given fraction,
The decimal expansion of 71/6 is 11.8333

71/6 as a Mixed Number
71/6 = (66 + 5)/6
= 66/6 + 5/6
= 11 + 5/6
= 11 5/6
71/6 = 11 5/6

Hence,
71/6 as a mixed number is 11 ⁵/₆
where,
71/6 is a given fraction,
11 ⁵/₆ is the mixed number representation of 71/6.

The below work with steps provide the detailed information about how to convert fraction 71/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 71/6

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 71/6.

step 2 The numerator is greater than the denominator of the fraction 71/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 71/6
= 66 + 5/6
= (11 x 6) + 5/6

step 3 Make the above expression as individual fractions:
= (11 x 6)/6 + 5/6

step 4 Simplify the above expression:
= 11 x 6/6 + 5/6
= 11 + 5/6
11 + 5/6 can be written as a mixed number 11 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 11 + 0.8333
= 11.8333
71/6 = 11.8333

Hence,
71/6 as a decimal is 11.8333
71/6 as a mixed number is 11 ⁵/₆