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 does cross-multiplication mean?

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 equation?

Back

The cross-multiplication equation is a * d = b * c.

Front

What is the first step in solving for n in the proportion n/3 = 14/12?

Back

The first step is to cross-multiply: n * 12 = 3 * 14.

Front

What is the solution for n in the proportion n/3 = 14/12?

Back

n = (3 * 14) / 12 = 3.5.

Front

What is the relationship between equivalent fractions and proportions?

Back

Equivalent fractions represent the same value and can be used to form proportions.

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 an example of a real-life situation that can be modeled with proportions?

Back

Cooking recipes often use proportions to adjust ingredient amounts.

Front

What is the value of n in the proportion 15/n = 5/3?

Back

n = (15 * 3) / 5 = 9.