40/27 as a Decimal and Mixed Number

40/27 as a decimal and mixed number expansion provides the detailed information about what is 40/27 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

40/27 as a Decimal
40/27 = 1.4815
Hence,
40/27 as a decimal equals to 1.4815
where,
40/27 is a given fraction,
The decimal expansion of 40/27 is 1.4815

40/27 as a Mixed Number
40/27 = (27 + 13)/27
= 27/27 + 13/27
= 1 + 13/27
= 1 13/27
40/27 = 1 13/27

Hence,
40/27 as a mixed number is 1 ¹³/₂₇
where,
40/27 is a given fraction,
1 ¹³/₂₇ is the mixed number representation of 40/27.

The below work with steps provide the detailed information about how to convert fraction 40/27 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 40/27

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 40/27.

step 2 The numerator is greater than the denominator of the fraction 40/27, so write the given fraction in the expression form in terms of denominator as like the below:
= 40/27
= 27 + 13/27

step 3 Make the above expression as individual fractions:
= 27/27 + 13/27

step 4 Simplify the above expression:
= 1 x 27/27 + 13/27
= 1 + 13/27
1 + 13/27 can be written as a mixed number 1 ¹³/₂₇.


step 5 Find the decimal equivalent for the fractional part 13/27 in the above expression:
= 1 + 0.4815
= 1.4815
40/27 = 1.4815

Hence,
40/27 as a decimal is 1.4815
40/27 as a mixed number is 1 ¹³/₂₇