Skill: Subtract mixed numbers with like denominators

To subtract mixed numbers with like denominators:

1. Subtract the whole numbers.
2. Subtract the fractions.
3. If the first fraction is smaller, regroup one whole as fractional pieces.

Example:

$$5\frac{1}{6}-2\frac{4}{6}$$

The denominators are both $6$, so we can subtract sixths. But $\frac{1}{6}$ is smaller than $\frac{4}{6}$, so regroup one whole from $5$.

Since one whole equals $\frac{6}{6}$:

$$5\frac{1}{6}=4\frac{7}{6}$$

Now subtract the whole numbers and fractional parts:

$$4\frac{7}{6}-2\frac{4}{6}$$ $$4-2=2 \qquad \text{and} \qquad \frac{7}{6}-\frac{4}{6}=\frac{3}{6}$$

Therefore,

$$5\frac{1}{6}-2\frac{4}{6}=2\frac{3}{6}$$

The answer means that after taking away $2$ wholes and $4$ sixths from $5$ wholes and $1$ sixth, $2$ wholes and $3$ sixths remain.