# Ratios Problem Solving 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.A ratio tells you the proportional quantity of one thing relative to another.

For example, the ratios 3/8 and 6/16 are equal and equivalent.

Proportions are two ratios that are equal to each other and these ratio and proportion problems are calculated and solved as shown below.

If you are looking at a ratio problem, you’ll know it because the test makers will make it obvious.

The important part lies in knowing how to manipulate ratios to get to your answer. You will usually be given a ratio along with a hypothetical quantity of one of the things on the original ratio.

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.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.Now with your b’s equal to each other, simply take the values of your a and c and create a new ratio.For example, if a:b is 2:3 and b:c is 6:9, then what is a:c?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.If you are a Premium Magoosh student and would like more personalized service, you can use the Help tab on the Magoosh dashboard. Simply stated, a ratio is the relationship of two numbers and proportions are two ratios that are equal to each other.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.

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