Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 2:3), as a fraction (e.g., 2/3), or in words (e.g., '2 to 3').

Front

What is the ratio of red marbles to yellow marbles if there are 2 red and 5 yellow marbles?

Back

The ratio of red to yellow marbles is 2:5.

Front

If a bag contains 3 blue marbles, 2 red marbles, and 5 yellow marbles, what is the ratio of red to total marbles?

Back

The total number of marbles is 10, so the ratio of red to total marbles is 2:10, which simplifies to 1:5.

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

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 red toy cars to all toy cars if Patrick has 2 black, 3 red, and 5 white toy cars?

Back

The total number of toy cars is 10, so the ratio of red toy cars to all toy cars is 3:10.

Front

What does it mean if a ratio is expressed as a fraction?

Back

Expressing a ratio as a fraction shows the relative size of one quantity to another, indicating how many parts of one quantity exist for each part of another.

Front

If the ratio of red circles to blue stars is 7:4, how many blue stars are there if there are 21 red circles?

Back

If the ratio is 7:4, then for every 7 red circles, there are 4 blue stars. If there are 21 red circles, there are (21/7) * 4 = 12 blue stars.

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole, such as the ratio of red marbles to blue marbles.