Solve Mixed Number Subtraction: 6 5/14 - 2 1/7

To solve the problem $6\frac{5}{14} - 2\frac{1}{7}$, we'll follow these steps:

• Step 1: Identify a common denominator for the fractions. The denominators are 14 and 7, and the least common denominator is 14.
• Step 2: Convert $2\frac{1}{7}$ to a fraction with a denominator of 14 to match $6\frac{5}{14}$.
• Step 3: Subtract the fractions.
• Step 4: Subtract the whole numbers.

Now, let's work through each step:

Step 1: The fractions are $\frac{5}{14}$ and $\frac{1}{7}$. The common denominator is 14.

Step 2: Convert $2\frac{1}{7}$: Start by converting $\frac{1}{7}$ to a denominator of 14:
$\frac{1}{7}$ is equivalent to $\frac{2}{14}$ (since $1 \times 2 = 2$ and $7 \times 2 = 14$).
So, $2\frac{1}{7} = 2\frac{2}{14}$.

Step 3: Subtract the fractions:
Subtract $\frac{2}{14}$ from $\frac{5}{14}$:
$\frac{5}{14} - \frac{2}{14} = \frac{3}{14}$.

Step 4: Subtract the whole numbers:
$6 - 2 = 4$.

Therefore, the final result is:
$4\frac{3}{14}$.

The correct answer to the problem $6\frac{5}{14} - 2\frac{1}{7}$ is $4\frac{3}{14}$.