Ratios and Proportions

Front

What is a ratio?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different.

Front

If the ratio of boys to girls in a class is 2:3, how many boys are there if there are 15 girls?

Back

There are 10 boys.

Front

What is the cross-multiplication method used for?

Back

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

Front

If 3/4 = x/12, what is the value of x?

Back

x = 9.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How can you find an unknown in a proportion?

Back

You can find an unknown in a proportion by cross-multiplying and then solving for the unknown variable.

Front

What is the ratio of 8 to 12 in simplest form?

Back

The simplest form of the ratio 8 to 12 is 2:3.