Ratios & Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, indicating how many times one value contains or is contained within the other.

Front

How do you find a missing value in a ratio table?

Back

To find a missing value in a ratio table, you can set up a proportion based on the known values and solve for the unknown.

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 isolate the variable.

Front

What does it mean to cross-multiply?

Back

Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio and vice versa.

Front

If \( \frac{k}{6} = \frac{15}{18} \), what is the value of k?

Back

k = 5.

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and seeing if the products are equal.

Front

What is the missing value in the ratio 2:7 if the corresponding value is 28?

Back

The missing value is 8.

Front

What is the formula for finding a missing value in a proportion?

Back

The formula is \( \frac{a}{b} = \frac{c}{d} \), where you can solve for the missing variable by cross-multiplying.