Equivalent Ratios Warmup

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, to simplify 20:25, divide both by 5 to get 4:5.

Front

What is the ratio of 6th graders to 7th graders if there are 32 6th graders and 8 7th graders?

Back

The ratio is 32:8, which simplifies to 4:1.

Front

Which of the following ratios is equivalent to 12:20? 1) 20:12 2) 2:3 3) 3:5 4) 3:10

Back

3:5 is equivalent to 12:20.

Front

If Brutus uses 4 cups of sugar for every 5 cups of flour, what is the ratio of sugar to flour?

Back

The ratio of sugar to flour is 4:5.

Front

What is the greatest common factor (GCF) of 20 and 25?

Back

The GCF of 20 and 25 is 5.

Front

How can you find if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for ratios a:b and c:d, they are equivalent if a*d = b*c.

Front

What is the simplified form of the ratio 10:15?

Back

The simplified form of 10:15 is 2:3.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 9 cups of flour?

Back

If the ratio is 2:3, for 9 cups of flour, you need 6 cups of sugar.

Front

What does it mean to scale a ratio?

Back

Scaling a ratio means multiplying both terms of the ratio by the same number to create an equivalent ratio.