Convert Fraction 8/3 to Mixed Number: Step-by-Step Solution

Question

Write the fraction as a mixed number:

83= \frac{8}{3}=

Video Solution

Step-by-Step Solution

To convert the improper fraction 83 \frac{8}{3} into a mixed number, we begin by performing long division on 8 by 3.

  • Step 1: Divide 8 by 3. The division gives us 2 as the whole number because 3 fits into 8 two times.
  • Step 2: Calculate the remainder: 8(3×2)=2 8 - (3 \times 2) = 2 .
  • Step 3: Construct the fractional part with the remainder. The remainder over the original denominator gives us 23 \frac{2}{3} .

Therefore, putting it together, 83 \frac{8}{3} as a mixed number is 223 2\frac{2}{3} .

The correct answer is choice 3: 223 2\frac{2}{3} .

Answer

223 2\frac{2}{3}