# Ratios Problem Solving

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For example, the ratio 12/8, 12:8, and 12 to 8 are all the same.

Like fractions, you should reduce ratios down to simplest terms – in this case, it is 3/2.

There are a few key concepts to get down in order to ace ACT Math ratios.

Let’s go right into how the ACT will test you on ratios and break it down for you.

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Simply stated, a ratio is the relationship of two numbers and proportions are two ratios that are equal to each other.Now, he's helping students all over the world by spilling SAT/ACT secrets through blog posts on Magoosh.When he's not busy tutoring or writing, he enjoys playing guitar, traveling, and talking about himself in third-person.You might see ratios written in fraction form, colon form, or in plain English.Whatever the case may be, you can treat them all the same way.In the case of the fraction form, do not get it confused with a regular fraction!The denominator of a ratio is not necessarily equivalent to the denominator of a ratio.The two main things you need to know are proportions and multi-step ratios. The key is to set up two ratios and cross-multiply as you would two fractions to solve for the missing fourth quantity.If you have a ratio of 3 cats to 2 dogs, how many cats do you have if you have 20 dogs?For example, a ratio does not tell you how many pears or oranges you actually have; a ratio does not tell you how many boys and how many girls there actually are; and, a ratio does not tell you how much money you have in the piggy bank or in the drawer. In order to determine how many pears or oranges you actually have, how many boys and how many girls there actually are and how much money you have in the piggy bank or in the drawer, you would have to perform ratio and proportion to answer these questions.The different ways to express ratios are: When comparing ratios, they should be written as fractions. If they are not equal they are NOT considered a ratio.