64/40 as a Decimal and Mixed Number

64/40 as a decimal and mixed number expansion provides the detailed information about what is 64/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

64/40 as a Decimal
64/40 = 1.6
Hence,
64/40 as a decimal equals to 1.6
where,
64/40 is a given fraction,
The decimal expansion of 64/40 is 1.6

64/40 as a Mixed Number
64/40 = (40 + 24)/40
= 40/40 + 24/40
= 1 + 24/40
= 1 24/40
64/40 = 1 24/40

Hence,
64/40 as a mixed number is 1 ²⁴/₄₀
where,
64/40 is a given fraction,
1 ²⁴/₄₀ is the mixed number representation of 64/40.

The below work with steps provide the detailed information about how to convert fraction 64/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 64/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 64/40.

step 2 The numerator is greater than the denominator of the fraction 64/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 64/40
= 40 + 24/40

step 3 Make the above expression as individual fractions:
= 40/40 + 24/40

step 4 Simplify the above expression:
= 1 x 40/40 + 24/40
= 1 + 24/40
= 1 + 3 x 8/5 x 8
= 1 + 3/5
1 + 3/5 can be written as a mixed number 1 ³/₅.


step 5 Find the decimal equivalent for the fractional part 3/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (3/5 x 2/2)
= 1 + 6/10

step 6 Simplify the above expression further:
= 1 + 0.6
= 1.6
64/40 = 1.6

Hence,
64/40 as a decimal is 1.6
64/40 as a mixed number is 1 ³/₅