Ratios and Equivalent Ratios

Front

What is a ratio?

Back

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

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 1:2), as a fraction (e.g., 1/2), or with the word 'to' (e.g., 1 to 2).

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

How can you find equivalent ratios?

Back

You can find equivalent ratios by multiplying or dividing both terms of the ratio by the same non-zero number.

Front

What is the ratio of 4 apples to 2 bananas?

Back

The ratio of apples to bananas is 4:2, which can be simplified to 2:1.

Front

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

Back

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

Front

Are the ratios 1:2 and 2:4 equivalent?

Back

Yes, 1:2 and 2:4 are equivalent ratios because they represent the same relationship.

Front

Find one equivalent ratio for 15:30 using division.

Back

One equivalent ratio for 15:30 is 5:10.

Front

What is the ratio of hot dogs to cheeseburgers if there are 2 hot dogs and 4 cheeseburgers?

Back

The ratio of hot dogs to cheeseburgers is 2:4, which simplifies to 1:2.

Front

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 students in total?

Back

There are 12 boys in the class.