Question

Select all of the pairs that are proportional (1 point) Responses 7/28, 12/36 7 over 28 comma 12 over 36 6/15,2/5 6 over 15 comma 2 fifths 65/39,20/12 65 over 39 comma 20 over 12 21/24,28/32 21 over 24 comma 28 over 32 13/15,65/85

Answer 1

To determine if the pairs of fractions are proportional, we can check if the cross-products are equal. For fractions \( a/b \) and \( c/d \), they are proportional if \( a \times d = b \times c \).

Now, let's evaluate each of the pairs:

1. **7/28 and 12/36**:
- Cross products:
- \( 7 \times 36 = 252 \)
- \( 12 \times 28 = 336 \)
- Not proportional (252 ≠ 336).

2. **6/15 and 2/5**:
- Cross products:
- \( 6 \times 5 = 30 \)
- \( 2 \times 15 = 30 \)
- Proportional (30 = 30).

3. **65/39 and 20/12**:
- Cross products:
- \( 65 \times 12 = 780 \)
- \( 20 \times 39 = 780 \)
- Proportional (780 = 780).

4. **21/24 and 28/32**:
- Cross products:
- \( 21 \times 32 = 672 \)
- \( 24 \times 28 = 672 \)
- Proportional (672 = 672).

5. **13/15 and 65/85**:
- Cross products:
- \( 13 \times 85 = 1105 \)
- \( 15 \times 65 = 975 \)
- Not proportional (1105 ≠ 975).

So, the pairs that are proportional are:

- **6/15 and 2/5**
- **65/39 and 20/12**
- **21/24 and 28/32**

Therefore, the pairs that are proportional are:

- **6/15, 2/5**
- **65/39, 20/12**
- **21/24, 28/32**