On this page, we hope to clear up problems that you might have
with fractions and their uses in Algebra. Ratios are
continually being utilized in math and make many things
much easier to do. Scroll down or use the links below
to start understanding ratios better!
Advanced ratio problems (inferring)
Quiz on Ratios
In this section we'll help you understand how to deal with ratios.
A fraction is also known as a ratio. For example, 3/4 is also the ratio of 3 to 4. Any statement (or equation) that says two ratios are equal is called a proportion. An important thing to remember when dealing with equal ratios is illustrated below.
3 15 4 * 15 - = -- Cross multiply. 4 20 3 * 20
You can solve for unknowns in proportions by using that process.
4 21 1. Solve: - = -- m 5 Solution: Set the cross products equal.
you use ratios to make solving word problems easier. Many times, you are expected to
gather information from the problem that is not directly stated in words. Gathering this information
is called inferring. This section will help you better understand how to infer information
from a word problem and solve using ratios.
1. Problem: The ratio of red marbles to blue marbles is 5 to 7. If there are 156 marbles total, how many red marbles are there?
Take the Quiz on ratios. (Very useful to review or to see if you've really got this topic down.) Do it!