40/39 as a Decimal and Mixed Number

40/39 as a decimal and mixed number expansion provides the detailed information about what is 40/39 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

40/39 as a Decimal
40/39 = 1.0256
Hence,
40/39 as a decimal equals to 1.0256
where,
40/39 is a given fraction,
The decimal expansion of 40/39 is 1.0256

40/39 as a Mixed Number
40/39 = (39 + 1)/39
= 39/39 + 1/39
= 1 + 1/39
= 1 1/39
40/39 = 1 1/39

Hence,
40/39 as a mixed number is 1 ¹/₃₉
where,
40/39 is a given fraction,
1 ¹/₃₉ is the mixed number representation of 40/39.

The below work with steps provide the detailed information about how to convert fraction 40/39 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 40/39

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 40/39.

step 2 The numerator is greater than the denominator of the fraction 40/39, so write the given fraction in the expression form in terms of denominator as like the below:
= 40/39
= 39 + 1/39

step 3 Make the above expression as individual fractions:
= 39/39 + 1/39

step 4 Simplify the above expression:
= 1 + 1/39
1 + 1/39 can be written as a mixed number 1 ¹/₃₉


step 5 Find the decimal equivalent for the fractional part 1/39 in the above expression:
= 1 + 0.0256
= 1.0256
40/39 = 1.0256

Hence,
40/39 as a decimal is 1.0256
40/39 as a mixed number is 1 ¹/₃₉