64/38 as a Decimal and Mixed Number

64/38 as a decimal and mixed number expansion provides the detailed information about what is 64/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

64/38 as a Decimal
64/38 = 1.6842
Hence,
64/38 as a decimal equals to 1.6842
where,
64/38 is a given fraction,
The decimal expansion of 64/38 is 1.6842

64/38 as a Mixed Number
64/38 = (38 + 26)/38
= 38/38 + 26/38
= 1 + 26/38
= 1 26/38
64/38 = 1 26/38

Hence,
64/38 as a mixed number is 1 ²⁶/₃₈
where,
64/38 is a given fraction,
1 ²⁶/₃₈ is the mixed number representation of 64/38.

The below work with steps provide the detailed information about how to convert fraction 64/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 64/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 64/38.

step 2 The numerator is greater than the denominator of the fraction 64/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 64/38
= 38 + 26/38

step 3 Make the above expression as individual fractions:
= 38/38 + 26/38

step 4 Simplify the above expression:
= 1 x 38/38 + 26/38
= 1 + 26/38
= 1 + 13 x 2/19 x 2
= 1 + 13/19
1 + 13/19 can be written as a mixed number 1 ¹³/₁₉.


step 5 Find the decimal equivalent for the fractional part 13/19 in the above expression:
= 1 + 0.6842
= 1.6842
64/38 = 1.6842

Hence,
64/38 as a decimal is 1.6842
64/38 as a mixed number is 1 ¹³/₁₉