7. Find an equivalent ratio in simplest terms: $$ 66: 80 $$

Question

UpStudy AI · Accepted Answer

To simplify the ratio $$ 66:80 $$ to its simplest terms, follow these steps:

1. **Find the Greatest Common Divisor (GCD) of 66 and 80:**

- **Factors of 66:** 1, 2, 3, 6, 11, 22, 33, 66
   - **Factors of 80:** 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
   - **Common Factors:** 1, 2

The **GCD** of 66 and 80 is **2**.

2. **Divide both numbers in the ratio by the GCD:**

$$
   \frac{66}{2} : \frac{80}{2} = 33 : 40
   $$

3. **Result:**

The simplest form of the ratio $$ 66:80 $$ is **$$ 33:40 $$**.
The simplest form of the ratio $$ 66:80 $$ is $$ 33:40 $$.

Find an equivalent ratio in simplest terms: