Ratios & Equivalent Ratios

Front

What is a ratio?

Back

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

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, even if the numbers themselves are different.

Front

How can you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is the ratio of 20 to 24 in simplest form?

Back

The simplest form of the ratio 20:24 is 5:6.

Front

If the ratio of boys to girls is 5:7, how do you find the number of boys if there are 35 girls?

Back

Use the ratio to set up a proportion: 5/7 = x/35, where x is the number of boys. Solve for x to find that there are 25 boys.

Front

What is the ratio of 4 pennies to 12 total coins?

Back

The ratio of pennies to total coins is 4:12.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the ratio of birds to snakes if there are 4 birds and 6 snakes?

Back

The ratio of birds to snakes is 4:6.

Front

Which of the following ratios is NOT equivalent to 20:24? 10:12, 5:6, 16:20

Back

16:20 is NOT equivalent to 20:24.

Front

If you have 3 pennies, 4 nickels, and 5 dimes, what is the ratio of nickels to total coins?

Back

The ratio of nickels to total coins is 4:12.