Ratios and Proportions (1st, 2nd, 3rd)

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

How do you simplify a ratio?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, expressed as 'a/b = c/d'.

Front

How do you solve a proportion?

Back

Cross-multiply the terms and solve for the unknown variable.

Front

What is the ratio of 2 cats to 5 dogs?

Back

2:5

Front

Back

x = 6.

Front

What is the total of the parts in the ratio 2:5?

Back

The total is 2 + 5 = 7 parts.

Front

How do you express a ratio in simplest form?

Back

Divide both numbers in the ratio by their GCD.

Front

What is the ratio of strawberries to the total if there are 20 strawberries and 35 grapes?

Back

20:55.

Front

If a recipe calls for a ratio of 3:2 of flour to sugar, how much sugar is needed for 6 cups of flour?

Back

4 cups of sugar.