27/8 as a Decimal and Mixed Number

27/8 as a decimal and mixed number expansion provides the detailed information about what is 27/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

27/8 as a Decimal
27/8 = 3.375
Hence,
27/8 as a decimal equals to 3.375
where,
27/8 is a given fraction,
The decimal expansion of 27/8 is 3.375

27/8 as a Mixed Number
27/8 = (24 + 3)/8
= 24/8 + 3/8
= 3 + 3/8
= 3 3/8
27/8 = 3 3/8

Hence,
27/8 as a mixed number is 3 ³/₈
where,
27/8 is a given fraction,
3 ³/₈ is the mixed number representation of 27/8.

The below work with steps provide the detailed information about how to convert fraction 27/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 27/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 27/8.

step 2 The numerator is greater than the denominator of the fraction 27/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 27/8
= 24 + 3/8
= (3 x 8) + 3/8

step 3 Make the above expression as individual fractions:
= (3 x 8)/8 + 3/8

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


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 3 + (3/8 x 125/125)
= 3 + 375/1000

step 6 Simplify the above expression further:
= 3 + 0.375
= 3.375
27/8 = 3.375

Hence,
27/8 as a decimal is 3.375
27/8 as a mixed number is 3 ³/₈