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

Question

Write the fraction as a mixed number:

146= \frac{14}{6}=

Video Solution

Solution Steps

00:00 Write as a mixed fraction
00:04 Break down 14 into 12 plus 2
00:10 Break into whole fraction and remainder
00:16 Convert from whole fraction to whole number, and combine into mixed fraction
00:27 And this is the solution to the question

Step-by-Step Solution

To solve the problem of converting 146 \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 6×2=12 6 \times 2 = 12 with a remainder.

  • Step 3: Find the Remainder
    Subtract 12 12 from 14 14 to find the remainder: 1412=2 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 226 2\frac{2}{6} .

Thus, the improper fraction146 \frac{14}{6} can be expressed as the mixed number 226 2\frac{2}{6} .

The solution to the problem is 226 2\frac{2}{6} .

Answer

226 2\frac{2}{6}