123/18 as a Decimal and Mixed Number

123/18 as a decimal and mixed number expansion provides the detailed information about what is 123/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

123/18 as a Decimal
123/18 = 6.8333
Hence,
123/18 as a decimal equals to 6.8333
where,
123/18 is a given fraction,
The decimal expansion of 123/18 is 6.8333

123/18 as a Mixed Number
123/18 = (108 + 15)/18
= 108/18 + 15/18
= 6 + 15/18
= 6 15/18
123/18 = 6 15/18

Hence,
123/18 as a mixed number is 6 ¹⁵/₁₈
where,
123/18 is a given fraction,
6 ¹⁵/₁₈ is the mixed number representation of 123/18.

The below work with steps provide the detailed information about how to convert fraction 123/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 123/18

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 123/18.

step 2 The numerator is greater than the denominator of the fraction 123/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 123/18
= 108 + 15/18
= (6 x 18) + 15/18

step 3 Make the above expression as individual fractions:
= (6 x 18)/18 + 15/18

step 4 Simplify the above expression:
= 6 x 18/18 + 15/18
= 6 + 15/18
= 6 + 5 x 3/6 x 3
= 6 + 5/6
6 + 5/6 can be written as a mixed number 6 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 6 + 0.8333
= 6.8333
123/18 = 6.8333

Hence,
123/18 as a decimal is 6.8333
123/18 as a mixed number is 6 ⁵/₆