320/55 as a Decimal and Mixed Number

320/55 as a decimal and mixed number expansion provides the detailed information about what is 320/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/55 as a Decimal
320/55 = 5.8182
Hence,
320/55 as a decimal equals to 5.8182
where,
320/55 is a given fraction,
The decimal expansion of 320/55 is 5.8182

320/55 as a Mixed Number
320/55 = (275 + 45)/55
= 275/55 + 45/55
= 5 + 45/55
= 5 45/55
320/55 = 5 45/55

Hence,
320/55 as a mixed number is 5 ⁴⁵/₅₅
where,
320/55 is a given fraction,
5 ⁴⁵/₅₅ is the mixed number representation of 320/55.

The below work with steps provide the detailed information about how to convert fraction 320/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/55

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/55.

step 2 The numerator is greater than the denominator of the fraction 320/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/55
= 275 + 45/55
= (5 x 55) + 45/55

step 3 Make the above expression as individual fractions:
= (5 x 55)/55 + 45/55

step 4 Simplify the above expression:
= 5 x 55/55 + 45/55
= 5 + 45/55
= 5 + 9 x 5/11 x 5
= 5 + 9/11
5 + 9/11 can be written as a mixed number 5 ⁹/₁₁.


step 5 Find the decimal equivalent for the fractional part 9/11 in the above expression:
= 5 + 0.8182
= 5.8182
320/55 = 5.8182

Hence,
320/55 as a decimal is 5.8182
320/55 as a mixed number is 5 ⁹/₁₁