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

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 2:3), as a fraction (e.g., 2/3), or with the word 'to' (e.g., 2 to 3).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

How can you determine if two ratios are equivalent?

Back

You can determine if two ratios are equivalent by cross-multiplying and checking if the products are equal.

Front

If Mickey has 20 shirts for every 4 ties, what is the ratio of shirts to ties?

Back

The ratio of shirts to ties is 20:4, which simplifies to 5:1.

Front

If Mickey has 30 shirts, how many ties does he have if the ratio is 5:1?

Back

If the ratio is 5:1, then for every 5 shirts, there is 1 tie. Therefore, with 30 shirts, he has 30/5 = 6 ties.

Front

What is the ratio of hot dogs to cheeseburgers if there are 2 hot dogs for every 4 cheeseburgers?

Back

The ratio of hot dogs to cheeseburgers is 2:4, which simplifies to 1:2.

Front

Are the ratios 2/4 and 3/10 equivalent?

Back

No, the ratios 2/4 and 3/10 are not equivalent.

Front

Are the ratios 1:2 and 4:7 equivalent?

Back

No, the ratios 1:2 and 4:7 are not equivalent.

Front

Select all ratios equivalent to 4 to 7.

Back

20 to 35 is equivalent to 4 to 7.