Ratios & Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: as a fraction (a/b), with a colon (a:b), or with the word 'to' (a to b).

Front

What is a ratio table?

Back

A ratio table is a table that shows equivalent ratios, helping to visualize the relationship between two quantities.

Front

If the ratio of apples to oranges is 2:3, how many oranges are there if there are 10 apples?

Back

There are 15 oranges. (10 apples * (3/2) = 15 oranges)

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication: if a/b = c/d, then a*d = b*c.

Front

If 3/4 = x/16, what is the value of x?

Back

x = 12. (Cross-multiply: 3*16 = 4*x, so x = 12.)

Front

What is the missing value in the ratio 5:15 = x:45?

Back

x = 15. (The ratios are equivalent: 5/15 = 15/45.)

Front

How many tablets of iodine are needed for 8 quarts of water if 2 tablets are needed for 1 quart?

Back

8 tablets. (2 tablets * 4 quarts = 8 tablets.)

Front

If a ratio table shows 4:12, what is the equivalent ratio for 2?

Back

The equivalent ratio is 2:6. (Divide both terms by 2.)