Question: Work out $\frac{5}{8} + \frac{1}{16}$ in its simplest form.
$\frac{5}{8} + \frac{1}{16} = \frac{\square}{16} + \frac{\square}{16} = \frac{\square}{\square}$
1. **State the problem:** We need to add the fractions $\frac{5}{8}$ and $\frac{1}{16}$ and express the result in its simplest form.
2. **Find a common denominator:** The denominators are $8$ and $16$. The least common denominator (LCD) is $16$ because $16$ is a multiple of $8$.
3. **Convert $\frac{5}{8}$ to a fraction with denominator $16$:**
$$\frac{5}{8} = \frac{5 \times 2}{8 \times 2} = \frac{10}{16}$$
4. **Rewrite the addition with common denominators:**
$$\frac{10}{16} + \frac{1}{16}$$
5. **Add the numerators:**
$$\frac{10 + 1}{16} = \frac{11}{16}$$
6. **Simplify the fraction if possible:**
$11$ and $16$ have no common factors other than $1$, so $\frac{11}{16}$ is already in simplest form.
**Final answer:**
$$\frac{5}{8} + \frac{1}{16} = \frac{11}{16}$$