320/36 as a Decimal and Mixed Number

320/36 as a decimal and mixed number expansion provides the detailed information about what is 320/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/36 as a Decimal
320/36 = 8.8889
Hence,
320/36 as a decimal equals to 8.8889
where,
320/36 is a given fraction,
The decimal expansion of 320/36 is 8.8889

320/36 as a Mixed Number
320/36 = (288 + 32)/36
= 288/36 + 32/36
= 8 + 32/36
= 8 32/36
320/36 = 8 32/36

Hence,
320/36 as a mixed number is 8 ³²/₃₆
where,
320/36 is a given fraction,
8 ³²/₃₆ is the mixed number representation of 320/36.

The below work with steps provide the detailed information about how to convert fraction 320/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/36

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/36.

step 2 The numerator is greater than the denominator of the fraction 320/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/36
= 288 + 32/36
= (8 x 36) + 32/36

step 3 Make the above expression as individual fractions:
= (8 x 36)/36 + 32/36

step 4 Simplify the above expression:
= 8 x 36/36 + 32/36
= 8 + 32/36
= 8 + 8 x 4/9 x 4
= 8 + 8/9
8 + 8/9 can be written as a mixed number 8 ⁸/₉.


step 5 Find the decimal equivalent for the fractional part 8/9 in the above expression:
= 8 + 0.8889
= 8.8889
320/36 = 8.8889

Hence,
320/36 as a decimal is 8.8889
320/36 as a mixed number is 8 ⁸/₉