320/15 as a Decimal and Mixed Number

320/15 as a decimal and mixed number expansion provides the detailed information about what is 320/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/15 as a Decimal
320/15 = 21.3333
Hence,
320/15 as a decimal equals to 21.3333
where,
320/15 is a given fraction,
The decimal expansion of 320/15 is 21.3333

320/15 as a Mixed Number
320/15 = (315 + 5)/15
= 315/15 + 5/15
= 21 + 5/15
= 21 5/15
320/15 = 21 5/15

Hence,
320/15 as a mixed number is 21 ⁵/₁₅
where,
320/15 is a given fraction,
21 ⁵/₁₅ is the mixed number representation of 320/15.

The below work with steps provide the detailed information about how to convert fraction 320/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/15.

step 2 The numerator is greater than the denominator of the fraction 320/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/15
= 315 + 5/15
= (21 x 15) + 5/15

step 3 Make the above expression as individual fractions:
= (21 x 15)/15 + 5/15

step 4 Simplify the above expression:
= 21 x 15/15 + 5/15
= 21 + 5/15
= 21 + 1 x 5/3 x 5
= 21 + 1/3
21 + 1/3 can be written as a mixed number 21 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 21 + 0.3333
= 21.3333
320/15 = 21.3333

Hence,
320/15 as a decimal is 21.3333
320/15 as a mixed number is 21 ¹/₃