18/8 as a Decimal and Mixed Number

18/8 as a decimal and mixed number expansion provides the detailed information about what is 18/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

18/8 as a Decimal
18/8 = 2.25
Hence,
18/8 as a decimal equals to 2.25
where,
18/8 is a given fraction,
The decimal expansion of 18/8 is 2.25

18/8 as a Mixed Number
18/8 = (16 + 2)/8
= 16/8 + 2/8
= 2 + 2/8
= 2 2/8
18/8 = 2 2/8

Hence,
18/8 as a mixed number is 2 ²/₈
where,
18/8 is a given fraction,
2 ²/₈ is the mixed number representation of 18/8.

The below work with steps provide the detailed information about how to convert fraction 18/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 18/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 18/8.

step 2 The numerator is greater than the denominator of the fraction 18/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 18/8
= 16 + 2/8
= (2 x 8) + 2/8

step 3 Make the above expression as individual fractions:
= (2 x 8)/8 + 2/8

step 4 Simplify the above expression:
= 2 x 8/8 + 2/8
= 2 + 2/8
= 2 + 1 x 2/4 x 2
= 2 + 1/4
2 + 1/4 can be written as a mixed number 2 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (1/4 x 25/25)
= 2 + 25/100

step 6 Simplify the above expression further:
= 2 + 0.25
= 2.25
18/8 = 2.25

Hence,
18/8 as a decimal is 2.25
18/8 as a mixed number is 2 ¹/₄