320/35 as a Decimal and Mixed Number

320/35 as a decimal and mixed number expansion provides the detailed information about what is 320/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/35 as a Decimal
320/35 = 9.1429
Hence,
320/35 as a decimal equals to 9.1429
where,
320/35 is a given fraction,
The decimal expansion of 320/35 is 9.1429

320/35 as a Mixed Number
320/35 = (315 + 5)/35
= 315/35 + 5/35
= 9 + 5/35
= 9 5/35
320/35 = 9 5/35

Hence,
320/35 as a mixed number is 9 ⁵/₃₅
where,
320/35 is a given fraction,
9 ⁵/₃₅ is the mixed number representation of 320/35.

The below work with steps provide the detailed information about how to convert fraction 320/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/35

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/35.

step 2 The numerator is greater than the denominator of the fraction 320/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/35
= 315 + 5/35
= (9 x 35) + 5/35

step 3 Make the above expression as individual fractions:
= (9 x 35)/35 + 5/35

step 4 Simplify the above expression:
= 9 x 35/35 + 5/35
= 9 + 5/35
= 9 + 1 x 5/7 x 5
= 9 + 1/7
9 + 1/7 can be written as a mixed number 9 ¹/₇.


step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
= 9 + 0.1429
= 9.1429
320/35 = 9.1429

Hence,
320/35 as a decimal is 9.1429
320/35 as a mixed number is 9 ¹/₇