64/15 as a Decimal and Mixed Number

64/15 as a decimal and mixed number expansion provides the detailed information about what is 64/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

64/15 as a Decimal Expansion
64/15 = 4.2667
Hence,
64/15 as a decimal equals to 4.2667
where,
64/15 is a given fraction,
The decimal expansion of 64/15 is 4.2667

64/15 as a Mixed Number
64/15 = (60 + 4)/15
= 60/15 + 4/15
= 4 + 4/15
= 4 4/15
64/15 = 4 4/15

Hence,
64/15 as a mixed number is 4 ⁴/₁₅
where,
64/15 is a given fraction,
4 ⁴/₁₅ is the mixed number representation of 64/15.

The below work with steps provide the detailed information about how to convert fraction 64/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 64/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 64/15.

step 2 The numerator is greater than the denominator of the fraction 64/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 64/15
= 60 + 4/15
= (4 x 15) + 4/15

step 3 Make the above expression as individual fractions:
= (4 x 15)/15 + 4/15

step 4 Simplify the above expression:
= 4 x 15/15 + 4/15
= 4 + 4/15
4 + 4/15 can be written as a mixed number 4 ⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 4/15 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 4/15. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 4/15.
= 4 + (4/15 x 100/100)

step 6 Simplify the above expression further:
= 4 + (400/15 x 1/100)
= 4 + (390 + 10/15 x 1/100)
= 4 + [(390/15 + 10/15 ) x 1/100]
= 4 + [(26 + 10/15) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/15 in the above expression:
= 4 + [(26 + 10/15) x 1/100]
= 4 + [(26 + 0.67) x 1/100]
= 4 + (26.67 x 1/100)
= 4 + 26.67/100
= 4 + 0.2667

step 8 Find the sum of above expression:
= 4 + 0.2667
= 4.2667
64/15 = 4.2667

Hence,
64/15 as a decimal is 4.2667
64/15 as a mixed number is 4 ⁴/₁₅