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 2:3 and 4:6 are equivalent.

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number. For example, multiplying the ratio 1:2 by 3 gives you 3:6.

Front

What is the ratio of a part to a whole?

Back

The ratio of a part to a whole compares a part of a quantity to the entire quantity. For example, if there are 3 apples out of 12 fruits, the ratio of apples to total fruits is 3:12, which simplifies to 1:4.

Front

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

Back

The ratio of flour to sugar is 2:3.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified by dividing both terms by 4, resulting in 2:3.

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

If the ratio of boys to girls in a class is 5:7 and there are 35 boys, how many girls are there?

Back

If the ratio is 5:7, then for every 5 boys, there are 7 girls. If there are 35 boys, then there are (35 boys * 7 girls) / 5 boys = 49 girls.

Front

What does it mean to scale a ratio?

Back

Scaling a ratio means to increase or decrease both terms of the ratio by the same factor. For example, scaling the ratio 1:2 by 3 gives you 3:6.

Front

How can you use ratios to solve real-world problems?

Back

Ratios can be used to compare quantities in real-world situations, such as recipes, mixtures, and proportions in various contexts.

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios. It helps visualize the relationship between the quantities.