Ratios and Equivalent Ratios

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 write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 2:3), as a fraction (e.g., \(\frac{2}{3}\)), or in words (e.g., '2 to 3').

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

How do you simplify a ratio?

Back

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

Front

What is the ratio of boys to girls in a class with 16 boys and 32 girls?

Back

The ratio of boys to girls is 1:2.

Front

If a class has 16 boys and 32 girls, what is the ratio of girls to boys in simplest form?

Back

The ratio of girls to boys in simplest form is 2:1.

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

The ratio of red apples to green apples is 4:3.

Front

In a fruit bowl with 4 apples, 2 bananas, and 5 pears, what is the ratio of pears to all fruit?

Back

The ratio of pears to all fruit is 5:11.

Front

If 15 dollars buy 5 pairs of socks, how much does 1 pair cost?

Back

1 pair costs 3 dollars.

Front

If tomatoes and cucumbers are planted in a ratio of 4:1 and there are 14 cucumber plants, how many tomato plants are there?

Back

There are 56 tomato plants.