ratios and proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressing how much of one quantity exists in relation to another.

Front

How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or in words (e.g., '3 to 2').

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the ratio of red toy cars to all toy cars if there are 2 black, 3 red, and 5 white toy cars?

Back

The ratio of red toy cars to all toy cars is 3:10.

Front

If Ella has 5 balloons and Taylor has 7 balloons, what is the ratio of Ella's balloons to Taylor's balloons?

Back

The ratio of Ella's balloons to Taylor's balloons is 5:7.

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

The ratio of red apples to green apples is 4:3.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How can ratios be simplified?

Back

Ratios can be simplified by dividing both terms by their greatest common divisor.

Front

What is the importance of understanding ratios in real-life applications?

Back

Understanding ratios is important for making comparisons, scaling quantities, and solving problems in various fields such as cooking, finance, and science.