180/17 as a Decimal and Mixed Number

180/17 as a decimal and mixed number expansion provides the detailed information about what is 180/17 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/17 as a Decimal
180/17 = 10.5882
Hence,
180/17 as a decimal equals to 10.5882
where,
180/17 is a given fraction,
The decimal expansion of 180/17 is 10.5882

180/17 as a Mixed Number
180/17 = (170 + 10)/17
= 170/17 + 10/17
= 10 + 10/17
= 10 10/17
180/17 = 10 10/17

Hence,
180/17 as a mixed number is 10 ¹⁰/₁₇
where,
180/17 is a given fraction,
10 ¹⁰/₁₇ is the mixed number representation of 180/17.

The below work with steps provide the detailed information about how to convert fraction 180/17 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/17

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/17.

step 2 The numerator is greater than the denominator of the fraction 180/17, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/17
= 170 + 10/17
= (10 x 17) + 10/17

step 3 Make the above expression as individual fractions:
= (10 x 17)/17 + 10/17

step 4 Simplify the above expression:
= 10 x 17/17 + 10/17
= 10 + 10/17
10 + 10/17 can be written as a mixed number 10 ¹⁰/₁₇.


step 5 Find the decimal equivalent for the fractional part 10/17 in the above expression:
= 10 + 0.5882
= 10.5882
180/17 = 10.5882

Hence,
180/17 as a decimal is 10.5882
180/17 as a mixed number is 10 ¹⁰/₁₇