Question

What are three equivalent ratios to `5/45`?

Answer 1

`1/9,2/18,3/27`

Explanation:

Let's find one equivalent ratio by reducing the fraction:

`5/45=(1xx5)/(9xx5)=1/9xx5/5=1/9xx1=color(blue)ul(bar(abs(color(black)(1/9))))`

Do you see how the reduced form, `1/9`, was multiplied by 1 (in the form of `5/5`)? We can do that for other forms of 1 to make equivalent ratios:

• `1/9xx1=1/9xx2/2=color(blue)ul(bar(abs(color(black)(2/18))))`
• `1/9xx1=1/9xx3/3=color(blue)ul(bar(abs(color(black)(3/27))))`