Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, expressed as 'a/b = c/d'.

Front

How do you solve for x in a proportion?

Back

Cross-multiply the ratios and solve the resulting equation.

Front

What does it mean if two ratios are proportional?

Back

It means that the two ratios express the same relationship between their quantities.

Front

Is 2/7 equal to 24/86?

Back

No, 2/7 ≠ 24/86.

Front

Solve the proportion: 4/x = 8/16. What is x?

Back

x = 8.

Front

What is the cross-multiplication method?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

How can you determine if two ratios form a proportion?

Back

If the cross-products are equal, then the ratios form a proportion.

Front

Is 1/3 equal to 4/12?

Back

Yes, 1/3 = 4/12.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios and set them equal to each other.