177/18 as a Decimal and Mixed Number

177/18 as a decimal and mixed number expansion provides the detailed information about what is 177/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

177/18 as a Decimal
177/18 = 9.8333
Hence,
177/18 as a decimal equals to 9.8333
where,
177/18 is a given fraction,
The decimal expansion of 177/18 is 9.8333

177/18 as a Mixed Number
177/18 = (162 + 15)/18
= 162/18 + 15/18
= 9 + 15/18
= 9 15/18
177/18 = 9 15/18

Hence,
177/18 as a mixed number is 9 ¹⁵/₁₈
where,
177/18 is a given fraction,
9 ¹⁵/₁₈ is the mixed number representation of 177/18.

The below work with steps provide the detailed information about how to convert fraction 177/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 177/18

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 177/18.

step 2 The numerator is greater than the denominator of the fraction 177/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 177/18
= 162 + 15/18
= (9 x 18) + 15/18

step 3 Make the above expression as individual fractions:
= (9 x 18)/18 + 15/18

step 4 Simplify the above expression:
= 9 x 18/18 + 15/18
= 9 + 15/18
= 9 + 5 x 3/6 x 3
= 9 + 5/6
9 + 5/6 can be written as a mixed number 9 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 9 + 0.8333
= 9.8333
177/18 = 9.8333

Hence,
177/18 as a decimal is 9.8333
177/18 as a mixed number is 9 ⁵/₆