Ratios

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: using a colon (e.g., 3:4), as a fraction (e.g., \frac{3}{4}), or with the word 'to' (e.g., 3 to 4).

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

Are the ratios \( \frac{4}{1} \) and \( \frac{20}{5} \) equivalent?

Back

Yes, both simplify to 4.

Front

If a recipe calls for 2 eggs and 3 cups of flour, how many eggs and cups of flour are needed for 3 batches?

Back

6 eggs and 9 cups of flour.

Front

What is the ratio of moons to suns if there are 4 moons and 8 suns?

Back

The ratio is 4:8, which simplifies to 1:2.

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

Which ratio is equivalent to 3:4?

Back

6:8 is equivalent to 3:4.

Front

If a cookie recipe requires 2 eggs and 3 cups of flour, how many cups of flour are needed for 8 eggs?

Back

12 cups of flour.

Front

What is the relationship between the ratios 4:2 and 2:1?

Back

4:2 simplifies to 2:1, showing they are equivalent.