Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms. For example, if a/b = c/d, then you can solve for a by calculating a = (b * c) / d.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio. This is used to solve proportions.

Front

If 3/x = 6/12, what is x?

Back

x = 6/2 = 3.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, meaning they can be expressed as a proportion.

Front

If a/b = c/d, what is the value of d if a = 4, b = 8, and c = 2?

Back

d = (b * c) / a = (8 * 2) / 4 = 4.

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as a fraction or with a colon (e.g., 3:4 or 3/4).

Front

How can proportions be used in real life?

Back

Proportions can be used in various real-life situations, such as cooking (adjusting recipes), map reading (scaling distances), and financial calculations (interest rates).

Front

If 5/15 = x/45, what is x?

Back

x = (5 * 45) / 15 = 15.

Front

What is the relationship between ratios and proportions?

Back

Ratios are the building blocks of proportions. A proportion states that two ratios are equal.