133/18 as a Decimal and Mixed Number

133/18 as a decimal and mixed number expansion provides the detailed information about what is 133/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

133/18 as a Decimal
133/18 = 7.3889
Hence,
133/18 as a decimal equals to 7.3889
where,
133/18 is a given fraction,
The decimal expansion of 133/18 is 7.3889

133/18 as a Mixed Number
133/18 = (126 + 7)/18
= 126/18 + 7/18
= 7 + 7/18
= 7 7/18
133/18 = 7 7/18

Hence,
133/18 as a mixed number is 7 ⁷/₁₈
where,
133/18 is a given fraction,
7 ⁷/₁₈ is the mixed number representation of 133/18.

The below work with steps provide the detailed information about how to convert fraction 133/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 133/18

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 133/18.

step 2 The numerator is greater than the denominator of the fraction 133/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 133/18
= 126 + 7/18
= (7 x 18) + 7/18

step 3 Make the above expression as individual fractions:
= (7 x 18)/18 + 7/18

step 4 Simplify the above expression:
= 7 x 18/18 + 7/18
= 7 + 7/18
7 + 7/18 can be written as a mixed number 7 ⁷/₁₈.


step 5 Find the decimal equivalent for the fractional part 7/18 in the above expression:
= 7 + 0.3889
= 7.3889
133/18 = 7.3889

Hence,
133/18 as a decimal is 7.3889
133/18 as a mixed number is 7 ⁷/₁₈