Question

Each of these is a pair of equivalent ratios for each pair explain why they are equivalent ratios or draw a diagram that shows why they are equivalent ratios 18:3 and 6:1

Answer 1

Answer: 18:3 and 6:1 are equivalent ratios because those are equivalent fractions.

Explanation

If we get the factors of the first ratio, we will see that:

• 18: 6 and 3, and 18 and 1.

,

• 3: 3, and 1.

Thus, if we display the ratios in fractions:

$\frac{18}{3}=\frac{6}{1}$

And then we write them in factors, we get:

$\frac{3\cdot6}{3\cdot1}=\frac{6}{1}$

Simplifying:

$\frac{3}{3}\cdot\frac{6}{1}=\frac{6}{1}$$1\cdot\frac{6}{1}=\frac{6}{1}$$\frac{6}{1}=\frac{6}{1}$

Thus, 18:3 and 6:1 are equivalent ratios.