Question

do the ratios 28:30 and 42:45 form a proportion? yes no

Explanation:

Step1: Simplify 28:30

Simplify the ratio \( 28:30 \) by dividing both numbers by their greatest common divisor, which is 2. So, \( \frac{28}{30}=\frac{28\div2}{30\div2}=\frac{14}{15} \).

Step2: Simplify 42:45

Simplify the ratio \( 42:45 \) by dividing both numbers by their greatest common divisor, which is 3. So, \( \frac{42}{45}=\frac{42\div3}{45\div3}=\frac{14}{15} \).

Step3: Compare the simplified ratios

Since both ratios simplify to \( \frac{14}{15} \), they are equal and thus form a proportion.

Answer:

yes