Ratios and 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 are equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

If the ratio of red apples to green apples is 4 to 3, how many red apples are there if there are 12 green apples?

Back

There are 16 red apples.

Front

How do you find an unknown value in a ratio?

Back

You can find an unknown value in a ratio by setting up a proportion and cross-multiplying.

Front

What is the ratio of 10 to 45 in simplest form?

Back

The simplest form of the ratio 10 to 45 is 2 to 9.

Front

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

Back

You need 6 cups of flour.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal.

Front

If the ratio of boys to girls in a class is 3 to 5, how many boys are there if there are 15 girls?

Back

There are 9 boys.

Front

What is a ratio table?

Back

A ratio table is a tool used to organize equivalent ratios in a structured format.