The problem asks us to find a ratio that is equivalent to the ratio 7:9. The provided options are: 1. 67:91

1. Problem Description

The problem asks us to find a ratio that is equivalent to the ratio 7:

9. The provided options are:

1. 67:91

2. 72:95

3. 70:90

4. 67:93

2. Solution Steps

A ratio is equivalent to another if they simplify to the same fraction. In other words, $\frac{a}{b}$ is equivalent to $\frac{c}{d}$ if $\frac{a}{b} = \frac{c}{d}$. We can check each option to see if its ratio is equal to 7/

9.

Option 1: $\frac{67}{91}$. This is not obviously equal to $\frac{7}{9}$. Since 67 is a prime number, the fraction cannot be simplified. Hence $\frac{67}{91} \neq \frac{7}{9}$.

Option 2: $\frac{72}{95}$. This is not obviously equal to $\frac{7}{9}$. Since 72 and 95 do not have any common factors to cancel, the fraction cannot be simplified. Hence $\frac{72}{95} \neq \frac{7}{9}$.

Option 3: $\frac{70}{90}$. We can simplify this fraction by dividing both the numerator and the denominator by 10:

$\frac{70}{90} = \frac{70 \div 10}{90 \div 10} = \frac{7}{9}$.

Therefore, $\frac{70}{90}$ is equivalent to $\frac{7}{9}$.

Option 4: $\frac{67}{93}$. This is not obviously equal to $\frac{7}{9}$. Since 67 is a prime number, the fraction cannot be simplified. Hence $\frac{67}{93} \neq \frac{7}{9}$.

Thus, the only equivalent ratio is 70:

9

0.

3. Final Answer

70:90