What is an equation that shows that two ratios are equivalent

8:24 is equal to 1:3 I hope this helps

I'm not sure about an "official" equation, but the way I would do it when I was younger is by "cross multiplication". You write the two ratios as a fraction, then you multiply the "numbers" across. writing the product on the top side of the ratio. Bottom left times top right and bottom right times top left. This can also be used to see which ratio is larger, if the products don't match, then the ratio with the larger outcome is bigger. In the attached pdf you can see what I'm talking about. t=The t=ratios used are "27:100  24,300:90,000".