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.

Step-by-step 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:

`(18)/(3)=(6)/(1)`

And then we write them in factors, we get:

`(3\cdot6)/(3\cdot1)=(6)/(1)`

Simplifying:

`(3)/(3)\cdot(6)/(1)=(6)/(1)`
`1\cdot(6)/(1)=(6)/(1)`
`(6)/(1)=(6)/(1)`

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