*Fractions tell you the proportional quantity of something relative to its whole.Ratios expressed as fractions do not tell you the whole.*

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?

Here you’ll be given two ratios and three different types of quantities: a, b, and c. You’ll then be asked to figure out the ratio of a to c.

In order to solve, you need to figure out the least common multiple of the two b’s and multiply the respective a’s accordingly.

The picture above is a ratio; this ratio could indicate that there are 4 boys for every 3 girls, that there are 4 pears for every 3 oranges or that there are $ 4 in the piggy bank for every 3 dollars in the drawer.

As you can see with these examples, ratios give limited information.Here we need to multiply our first ratio by 2 in order to get 4:6.Since our b from the first and second ratio match, we can take our a and c and form a new ratio. Minh's passion for helping students succeed grew during his time as a career counselor at the University of California, Irvine.Keep your numbers manageable, especially when you need to look for the lowest common multiple later on in the multi-step ratio section.On the test, ratios will be clearly spelled out for you.You could use mental math or set up two fractions to get 30 cats as your answer.These are a little bit more involved, but shouldn’t pose much of a threat to your score one you learn about how to go about solving them.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.Magoosh blog comment policy: To create the best experience for our readers, we will approve and respond to comments that are relevant to the article, general enough to be helpful to other students, concise, and well-written!:) If your comment was not approved, it likely did not adhere to these guidelines.

## Comments Ratios Problem Solving