# Ratios Problem Solving

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

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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.