Question

1. determine if 12:16 and 72:96 are equivalent ratios.

Explanation:

Step1: Simplify 12:16 to lowest terms

Divide both terms by GCD(12,16)=4:
$\frac{12}{4}:\frac{16}{4} = 3:4$

Step2: Simplify 72:96 to lowest terms

Divide both terms by GCD(72,96)=24:
$\frac{72}{24}:\frac{96}{24} = 3:4$

Step3: Compare simplified ratios

Both ratios simplify to 3:4.

Answer:

Yes, 12:16 and 72:96 are equivalent ratios.