71/64 as a Decimal and Mixed Number

71/64 as a decimal and mixed number expansion provides the detailed information about what is 71/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

71/64 as a Decimal
71/64 = 1.1094
Hence,
71/64 as a decimal equals to 1.1094
where,
71/64 is a given fraction,
The decimal expansion of 71/64 is 1.1094

71/64 as a Mixed Number
71/64 = (64 + 7)/64
= 64/64 + 7/64
= 1 + 7/64
= 1 7/64
71/64 = 1 7/64

Hence,
71/64 as a mixed number is 1 ⁷/₆₄
where,
71/64 is a given fraction,
1 ⁷/₆₄ is the mixed number representation of 71/64.

The below work with steps provide the detailed information about how to convert fraction 71/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 71/64

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 71/64.

step 2 The numerator is greater than the denominator of the fraction 71/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 71/64
= 64 + 7/64

step 3 Make the above expression as individual fractions:
= 64/64 + 7/64

step 4 Simplify the above expression:
= 1 x 64/64 + 7/64
= 1 + 7/64
1 + 7/64 can be written as a mixed number 1 ⁷/₆₄.


step 5 Find the decimal equivalent for the fractional part 7/64 in the above expression:
= 1 + 0.1094
= 1.1094
71/64 = 1.1094

Hence,
71/64 as a decimal is 1.1094
71/64 as a mixed number is 1 ⁷/₆₄