Equivalent Ratios

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 can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply the terms. If the cross-products are equal, the ratios are equivalent.

Front

What is the ratio of 3 to 6?

Back

The ratio of 3 to 6 can be simplified to 1:2, which is an equivalent ratio.

Front

Are the ratios 4:8 and 2:5 equivalent?

Back

No, the ratios 4:8 and 2:5 are not equivalent.

Front

If a recipe calls for 2 cups of flour to 3 cups of sugar, what is the equivalent ratio of flour to sugar?

Back

The equivalent ratio of flour to sugar is 2:3.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions. For example, the ratio 1:2 is equivalent to the fraction 1/2.

Front

If you have the ratio 5:10, what is its simplest form?

Back

The simplest form of the ratio 5:10 is 1:2.

Front

Are the ratios 6:9 and 4:6 equivalent?

Back

No, the ratios 6:9 and 4:6 are not equivalent.

Front

What is a real-world example of equivalent ratios?

Back

A real-world example of equivalent ratios is mixing paint colors. If you mix 1 part red to 2 parts white, it is equivalent to mixing 2 parts red to 4 parts white.

Front

How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 3:4), as a fraction (e.g., 3/4), or with the word 'to' (e.g., 3 to 4).