17/9 as a Decimal and Mixed Number

17/9 as a decimal and mixed number expansion provides the detailed information about what is 17/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

17/9 as a Decimal Expansion
17/9 = 1.8889
Hence,
17/9 as a decimal equals to 1.8889
where,
17/9 is a given fraction,
The decimal expansion of 17/9 is 1.8889

17/9 as a Mixed Number
17/9 = (9 + 8)/9
= 9/9 + 8/9
= 1 + 8/9
= 1 8/9
17/9 = 1 8/9

Hence,
17/9 as a mixed number is 1 ⁸/₉
where,
17/9 is a given fraction,
1 ⁸/₉ is the mixed number representation of 17/9.

The below work with steps provide the detailed information about how to convert fraction 17/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 17/9

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 17/9.

step 2 The numerator is greater than the denominator of the fraction 17/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 17/9
= 9 + 8/9

step 3 Make the above expression as individual fractions:
= 9/9 + 8/9

step 4 Simplify the above expression:
= 1 x 9/9 + 8/9
= 1 + 8/9
1 + 8/9 can be written as a mixed number 1 ⁸/₉.


step 5 Find the decimal equivalent for the fractional part 8/9 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 8/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 8/9.
= 1 + (8/9 x 10/10)

step 6 Simplify the above expression further:
= 1 + (80/9 x 1/10)
= 1 + (72 + 8/9 x 1/10)
= 1 + [(72/9 + 8/9 ) x 1/10]
= 1 + [(8 + 8/9) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 8/9 in the above expression:
= 1 + [(8 + 8/9) x 1/10]
= 1 + [(8 + 0.89) x 1/10]
= 1 + (8.89 x 1/10)
= 1 + 8.89/10
= 1 + 0.889

step 8 Find the sum of above expression:
= 1 + 0.889
= 1.889
17/9 = 1.889

Hence,
17/9 as a decimal is 1.889
17/9 as a mixed number is 1 ⁸/₉