Are the ratios 5:10 and 2:4 equivalent?

Yes, the ratios 5:10 and 2:4 are equivalent. Here's why:

Step 1: Simplify the ratios.

• The ratio 5:10 can be simplified by dividing both numbers by their greatest common divisor, which is 5. This gives us 1:2.
• The ratio 2:4 can be simplified by dividing both numbers by their greatest common divisor, which is 2. This also gives us 1:2.

Step 2: Compare the simplified ratios.

• Both simplified ratios are 1:2.

Therefore, the ratios 5:10 and 2:4 are equivalent because they simplify to the same ratio.