323/34 as a Decimal and Mixed Number

323/34 as a decimal and mixed number expansion provides the detailed information about what is 323/34 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

323/34 as a Decimal
323/34 = 9.5
Hence,
323/34 as a decimal equals to 9.5
where,
323/34 is a given fraction,
The decimal expansion of 323/34 is 9.5

323/34 as a Mixed Number
323/34 = (306 + 17)/34
= 306/34 + 17/34
= 9 + 17/34
= 9 17/34
323/34 = 9 17/34

Hence,
323/34 as a mixed number is 9 ¹⁷/₃₄
where,
323/34 is a given fraction,
9 ¹⁷/₃₄ is the mixed number representation of 323/34.

The below work with steps provide the detailed information about how to convert fraction 323/34 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 323/34

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 323/34.

step 2 The numerator is greater than the denominator of the fraction 323/34, so write the given fraction in the expression form in terms of denominator as like the below:
= 323/34
= 306 + 17/34
= (9 x 34) + 17/34

step 3 Make the above expression as individual fractions:
= (9 x 34)/34 + 17/34

step 4 Simplify the above expression:
= 9 x 34/34 + 17/34
= 9 + 17/34
= 9 + 1 x 17/2 x 17
= 9 + 1/2
9 + 1/2 can be written as a mixed number 9 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 9 + (1/2 x 5/5)
= 9 + 5/10

step 6 Simplify the above expression further:
= 9 + 0.5
= 9.5
323/34 = 9.5

Hence,
323/34 as a decimal is 9.5
323/34 as a mixed number is 9 ¹/₂