Convert Fraction 14/6 to a Mixed Number: Step-by-Step Solution

Write the fraction as a mixed number:

$\frac{14}{6}=$

To solve the problem of converting $\frac{14}{6}$ into a mixed number, we will perform the following steps:

• Step 1: Divide the Numerator by the Denominator
  Divide 14 by 6. The division gives us a quotient (whole number) and a remainder.

• Step 2: Determine the Whole Number
  The whole number from the division of 14 by 6 is 2, because $6 \times 2 = 12$ with a remainder.

• Step 3: Find the Remainder
  Subtract $12$ from $14$ to find the remainder: $14 - 12 = 2$.

• Step 4: Construct the Mixed Number
  The remainder 2 becomes the numerator of the fractional part, keeping the original denominator 6. Therefore, the mixed number is $2\frac{2}{6}$.

Thus, the improper fraction$\frac{14}{6}$ can be expressed as the mixed number $2\frac{2}{6}$.

The solution to the problem is $2\frac{2}{6}$.