320/108 as a Decimal and Mixed Number

320/108 as a decimal and mixed number expansion provides the detailed information about what is 320/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/108 as a Decimal
320/108 = 2.963
Hence,
320/108 as a decimal equals to 2.963
where,
320/108 is a given fraction,
The decimal expansion of 320/108 is 2.963

320/108 as a Mixed Number
320/108 = (216 + 104)/108
= 216/108 + 104/108
= 2 + 104/108
= 2 104/108
320/108 = 2 104/108

Hence,
320/108 as a mixed number is 2 ¹⁰⁴/₁₀₈
where,
320/108 is a given fraction,
2 ¹⁰⁴/₁₀₈ is the mixed number representation of 320/108.

The below work with steps provide the detailed information about how to convert fraction 320/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/108

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/108.

step 2 The numerator is greater than the denominator of the fraction 320/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/108
= 216 + 104/108
= (2 x 108) + 104/108

step 3 Make the above expression as individual fractions:
= (2 x 108)/108 + 104/108

step 4 Simplify the above expression:
= 2 x 108/108 + 104/108
= 2 + 104/108
= 2 + 26 x 4/27 x 4
= 2 + 26/27
2 + 26/27 can be written as a mixed number 2 ²⁶/₂₇.


step 5 Find the decimal equivalent for the fractional part 26/27 in the above expression:
= 2 + 0.963
= 2.963
320/108 = 2.963

Hence,
320/108 as a decimal is 2.963
320/108 as a mixed number is 2 ²⁶/₂₇