Ratios and Proportions

Front

What is a Ratio?

Back

A ratio is a comparison of two quantities.

Front

Express the ratio 18 ounces to 3 cups in simplest form.

Back

6 to 1

Front

What does it mean to simplify a ratio?

Back

To simplify a ratio means to express it in its lowest terms, where the two quantities have no common factors other than 1.

Front

If the ratio of oranges to fruit is 2:6, what is the ratio of fruit to oranges?

Back

6:2 or 3:1 when simplified.

Front

Solve for a: 3a = 9

Back

a = 3

Front

What is a proportion?

Back

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

Front

If 4 apples cost $2, how much do 10 apples cost?

Back

$5 (using the ratio 4:2 to find the cost per apple).

Front

What is the cross-multiplication method used for?

Back

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

Front

Solve for x: 2/3 = x/9

Back

x = 6 (cross-multiplying gives 2*9 = 3*x).

Front

What is the relationship between ratios and rates?

Back

A rate is a specific type of ratio that compares two quantities with different units.