Ratios and Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or as a fraction a/b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, to simplify the ratio 4:6, divide both by 2 to get 2:3.

Front

What are equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between quantities. For example, 1:2, 2:4, and 3:6 are all equivalent ratios.

Front

What is the value of the ratio 4:6?

Back

Front

What is the value of the ratio 3:9?

Back

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios, helping to visualize the relationship between the quantities.

Front

How do you find the value of a ratio?

Back

To find the value of a ratio, divide the first quantity by the second quantity. For example, for the ratio 8:2, the value is 8 ÷ 2 = 4.

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

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the quantities. For example, 1:2 is not equivalent to 2:3.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both parts of the ratio by their greatest common factor. For example, the ratio 10:15 can be simplified to 2:3.