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 can you express a ratio?

Back

A ratio can be expressed in three ways: using the word 'to' (e.g., 3 to 4), using a colon (e.g., 3:4), and as a fraction (e.g., 3/4).

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different (e.g., 2:4 is equivalent to 1:2).

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the ratio of students who rode the bus to those who used other transportation if 14 out of 30 students rode the bus?

Back

The ratio is 7:8.

Front

If you have a ratio of 8:20, what happens if you divide both numbers by 4?

Back

You get the equivalent ratio 2:5.

Front

What is the ratio of time spent watching TV to time spent sleeping if you watch TV for 2 hours and sleep for 8 hours?

Back

The ratio is 2:8.

Front

In a bag of marbles with 3 blue, 2 red, and 5 yellow marbles, what is the ratio of red to yellow marbles?

Back

The ratio is 2:5.

Front

If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio is 2:3.

Front

What is the simplified form of the ratio 10:15?

Back

The simplified form is 2:3.