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, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if the 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 simplest form of a ratio?

Back

The simplest form of a ratio is when the numbers in the ratio are reduced to their smallest whole number values. For example, the ratio 8:12 can be simplified to 2:3.

Front

If a recipe calls for a ratio of 3:1 for flour to sugar, how much sugar is needed for 9 cups of flour?

Back

If the ratio is 3:1, then for every 3 cups of flour, 1 cup of sugar is needed. For 9 cups of flour, you would need 3 cups of sugar.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

Front

How do you scale a ratio up or down?

Back

To scale a ratio up, multiply both parts of the ratio by the same number. To scale it down, divide both parts by the same number.

Front

What is a practical application of equivalent ratios in cooking?

Back

Equivalent ratios are used in cooking to adjust ingredient amounts when changing the size of a recipe. For example, if a recipe is doubled, all ingredient amounts must also be doubled.

Front

How do you find a missing value in a proportion?

Back

To find a missing value in a proportion, set up the equation using cross multiplication and solve for the unknown.

Front

What is the ratio of 20:24 in simplest form?

Back

The simplest form of the ratio 20:24 is 5:6.

Front

If a truck travels 55 miles in 1 hour, how far will it travel in 3 hours?

Back

If the truck travels at a constant rate of 55 miles per hour, in 3 hours it will travel 165 miles (55 miles/hour * 3 hours).