Question

Which two ratios form a proportion?(1 point)
Responses

20/4
and 1/5
20 fourths and 1 fifth

20/4
and 2/5
20 fourths and 2 fifths

4/20
and 2/5
4 over 20 and 2 fifths

4/20
and 1/5

Answer 1

To determine which two ratios form a proportion, we can check if the cross products are equal. A proportion means that the ratio of one pair is equal to the ratio of another pair.

Let's evaluate the pairs:

1. **20/4 and 1/5**
- Cross products: \( 20 \times 5 = 100 \) and \( 4 \times 1 = 4 \) (not equal)

2. **20/4 and 2/5**
- Cross products: \( 20 \times 5 = 100 \) and \( 4 \times 2 = 8 \) (not equal)

3. **4/20 and 2/5**
- Cross products: \( 4 \times 5 = 20 \) and \( 20 \times 2 = 40 \) (not equal)

4. **4/20 and 1/5**
- Cross products: \( 4 \times 5 = 20 \) and \( 20 \times 1 = 20 \) (equal)

Thus, the two ratios that form a proportion are **4/20 and 1/5**.