Question

Select all ratios equivalent to 10:14.
20:28
4:2
35:49

Answer 1

To determine which ratios are equivalent to \(10:14\), we can simplify \(10:14\) first and check the other ratios.

1. Simplifying \(10:14\):
\[
\frac{10}{14} = \frac{5}{7}
\]

Now we will simplify each of the provided ratios:

- **Ratio \(20:28\)**:
\[
\frac{20}{28} = \frac{5}{7} \quad \text{(by dividing both by 4)}
\]

- **Ratio \(4:2\)**:
\[
\frac{4}{2} = 2 \quad \text{(which simplifies to } 2:1\text{, not } \frac{5}{7})
\]

- **Ratio \(35:49\)**:
\[
\frac{35}{49} = \frac{5}{7} \quad \text{(by dividing both by 7)}
\]

Now we can summarize our findings:
- \(20:28\) is equivalent to \(10:14\).
- \(4:2\) is not equivalent.
- \(35:49\) is equivalent to \(10:14\).

Thus, the ratios equivalent to \(10:14\) are:
- **20:28**
- **35:49**