Solving Proportions

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 two ratios and then solve for the unknown variable.

Front

What is cross-multiplication in proportions?

Back

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

Front

If a/b = c/d, what is the cross-multiplication result?

Back

The result is a*d = b*c.

Front

What does it mean if two ratios form a proportion?

Back

It means that the two ratios are equivalent, or that they represent the same relationship.

Front

How can you check if two ratios form a proportion?

Back

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

Front

What is the first step in solving a proportion problem?

Back

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

Front

What is an example of a proportion?

Back

An example of a proportion is 1/2 = 3/6.

Front

What is the relationship between equivalent fractions and proportions?

Back

Equivalent fractions represent the same value and can be expressed as proportions.

Front

What is the significance of the means in a proportion?

Back

In the proportion a/b = c/d, 'b' and 'c' are called the means.