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

Ratios can be written in three ways: using a colon (e.g., 3:5), as a fraction (e.g., 3/5), or with the word 'to' (e.g., 3 to 5).

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 factor (GCF).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' (e.g., miles per hour).

Front

If there are 10 apples and 5 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 10:5, which simplifies to 2:1.

Front

What is the ratio of rap songs to all songs if there are 10 rock songs, 6 rap songs, and 2 pop songs?

Back

The total number of songs is 10 + 6 + 2 = 18. The ratio of rap songs to all songs is 6:18, which simplifies to 1:3.

Front

How can you determine if a table of ratios is proportional?

Back

A table of ratios is proportional if all the ratios can be simplified to the same value.

Front

What is the equivalent ratio of 3:5?

Back

An equivalent ratio of 3:5 is 6:10.

Front

If Mr. Keys made $90 in 5 hours, what is his unit rate?

Back

His unit rate is $18 per hour.