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 numbers and then divide to find the unknown value.

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.

Front

If a:b = c:d, what does this mean?

Back

It means that the ratio of a to b is equal to the ratio of c to d.

Front

What is the first step in solving a proportion?

Back

The first step is to set up the proportion correctly with the known values.

Front

What is the formula for finding an unknown in a proportion?

Back

If a/b = c/x, then x = (b * c) / a.

Front

In the proportion 3/4 = x/20, what is x?

Back

x = (3 * 20) / 4 = 15.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How can you express a ratio of 10:3 in fraction form?

Back

10:3 can be expressed as the fraction 10/3.

Front

What is the relationship between ratios and proportions?

Back

Ratios are used to compare two quantities, while proportions show that two ratios are equal.