320/26 as a Decimal and Mixed Number

320/26 as a decimal and mixed number expansion provides the detailed information about what is 320/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/26 as a Decimal
320/26 = 12.3077
Hence,
320/26 as a decimal equals to 12.3077
where,
320/26 is a given fraction,
The decimal expansion of 320/26 is 12.3077

320/26 as a Mixed Number
320/26 = (312 + 8)/26
= 312/26 + 8/26
= 12 + 8/26
= 12 8/26
320/26 = 12 8/26

Hence,
320/26 as a mixed number is 12 ⁸/₂₆
where,
320/26 is a given fraction,
12 ⁸/₂₆ is the mixed number representation of 320/26.

The below work with steps provide the detailed information about how to convert fraction 320/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/26.

step 2 The numerator is greater than the denominator of the fraction 320/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/26
= 312 + 8/26
= (12 x 26) + 8/26

step 3 Make the above expression as individual fractions:
= (12 x 26)/26 + 8/26

step 4 Simplify the above expression:
= 12 x 26/26 + 8/26
= 12 + 8/26
= 12 + 4 x 2/13 x 2
= 12 + 4/13
12 + 4/13 can be written as a mixed number 12 ⁴/₁₃.


step 5 Find the decimal equivalent for the fractional part 4/13 in the above expression:
= 12 + 0.3077
= 12.3077
320/26 = 12.3077

Hence,
320/26 as a decimal is 12.3077
320/26 as a mixed number is 12 ⁴/₁₃