Are the ratios 1:3 and 6:18 equivalent?

yes

Step-by-step explanation:

The ratios 1:3 and 6:18 are equivalent. To prove this we simplify the ratio 6:18 and show that it reduces to 1:3.

The ratio 6:18 can be written as;

6/18

Dividing the numerator and denominator by 6 yields;

1/3 which is the same as 1:3.

Therefore, 6:18 is equal to 1:3 and thus the two ratios are equivalent.

Yes. You cannot reduce 1/3. Divide by 6 for 6/18. 6/6 = 1, 18/6 = 3. 6/18 = 1/3.