81/18 as a Decimal and Mixed Number

81/18 as a decimal and mixed number expansion provides the detailed information about what is 81/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

81/18 as a Decimal
81/18 = 4.5
Hence,
81/18 as a decimal equals to 4.5
where,
81/18 is a given fraction,
The decimal expansion of 81/18 is 4.5

81/18 as a Mixed Number
81/18 = (72 + 9)/18
= 72/18 + 9/18
= 4 + 9/18
= 4 9/18
81/18 = 4 9/18

Hence,
81/18 as a mixed number is 4 ⁹/₁₈
where,
81/18 is a given fraction,
4 ⁹/₁₈ is the mixed number representation of 81/18.

The below work with steps provide the detailed information about how to convert fraction 81/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 81/18

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 81/18.

step 2 The numerator is greater than the denominator of the fraction 81/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 81/18
= 72 + 9/18
= (4 x 18) + 9/18

step 3 Make the above expression as individual fractions:
= (4 x 18)/18 + 9/18

step 4 Simplify the above expression:
= 4 x 18/18 + 9/18
= 4 + 9/18
= 4 + 1 x 9/2 x 9
= 4 + 1/2
4 + 1/2 can be written as a mixed number 4 ¹/₂.


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

step 6 Simplify the above expression further:
= 4 + 0.5
= 4.5
81/18 = 4.5

Hence,
81/18 as a decimal is 4.5
81/18 as a mixed number is 4 ¹/₂