Ratios & Proportions

Front

What is a ratio?

Back

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

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.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other.

Front

What is the ratio of 4 birds to 6 snakes?

Back

The ratio of birds to snakes is 4:6, which simplifies to 2:3.

Front

If 5 cups of flour make 3 pies, how many cups are needed for 1 pie?

Back

You need approximately 1.67 cups of flour to make 1 pie.

Front

If there are 2 cats and 5 dogs, what is the ratio of cats to dogs?

Back

The ratio of cats to dogs is 2:5.

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 is the denominator.

Front

How can you express the ratio of 3 stars to 4 squares?

Back

The ratio can be expressed as 3:4.

Front

What is the cross-multiplication method?

Back

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