Question: Write the ratio using fraction notation and reduce.
HINT: Be sure to compare like units.
12 feet to 3 yards
1. **State the problem:** We need to write the ratio of $12$ feet to $3$ yards using fraction notation and reduce it.
2. **Convert units to be the same:** Since the units must be the same to compare, convert yards to feet.
Recall: $$1 \text{ yard} = 3 \text{ feet}$$
So, $$3 \text{ yards} = 3 \times 3 = 9 \text{ feet}$$
3. **Write the ratio as a fraction:**
$$\frac{12 \text{ feet}}{9 \text{ feet}}$$
4. **Cancel the units (since they are the same):**
$$\frac{12}{9}$$
5. **Reduce the fraction:**
Find the greatest common divisor (GCD) of $12$ and $9$, which is $3$.
$$\frac{\cancel{3} \times 4}{\cancel{3} \times 3} = \frac{4}{3}$$
6. **Final answer:**
The ratio in fraction notation, reduced, is $$\frac{4}{3}$$.