64/27 as a Decimal and Mixed Number

64/27 as a decimal and mixed number expansion provides the detailed information about what is 64/27 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

64/27 as a Decimal
64/27 = 2.3704
Hence,
64/27 as a decimal equals to 2.3704
where,
64/27 is a given fraction,
The decimal expansion of 64/27 is 2.3704

64/27 as a Mixed Number
64/27 = (54 + 10)/27
= 54/27 + 10/27
= 2 + 10/27
= 2 10/27
64/27 = 2 10/27

Hence,
64/27 as a mixed number is 2 ¹⁰/₂₇
where,
64/27 is a given fraction,
2 ¹⁰/₂₇ is the mixed number representation of 64/27.

The below work with steps provide the detailed information about how to convert fraction 64/27 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 64/27

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 64/27.

step 2 The numerator is greater than the denominator of the fraction 64/27, so write the given fraction in the expression form in terms of denominator as like the below:
= 64/27
= 54 + 10/27
= (2 x 27) + 10/27

step 3 Make the above expression as individual fractions:
= (2 x 27)/27 + 10/27

step 4 Simplify the above expression:
= 2 x 27/27 + 10/27
= 2 + 10/27
2 + 10/27 can be written as a mixed number 2 ¹⁰/₂₇.


step 5 Find the decimal equivalent for the fractional part 10/27 in the above expression:
= 2 + 0.3704
= 2.3704
64/27 = 2.3704

Hence,
64/27 as a decimal is 2.3704
64/27 as a mixed number is 2 ¹⁰/₂₇