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, you can use cross-multiplication, where you multiply the numerator of one ratio by the denominator of the other ratio.

Front

What is cross-multiplication in proportions?

Back

Cross-multiplication is the process of multiplying the numerator of one fraction by the denominator of the other fraction to find an unknown value.

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 a proportion?

Back

The first step is to set the two ratios equal to each other.

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities.

Front

How can you check if your solution to a proportion is correct?

Back

You can check your solution by substituting it back into the original proportion to see if both sides are equal.

Front

What is an example of a real-world application of proportions?

Back

Proportions can be used in recipes to adjust ingredient amounts based on serving sizes.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

How can proportions be used in scale drawings?

Back

Proportions can be used to maintain the correct ratio between the dimensions of a drawing and the actual object.