Understanding Ratios and Rates

A comparison of two quantities by addition

A comparison of two quantities by division

A comparison of two quantities by subtraction

A comparison of two quantities by multiplication

3 to 5, 3+5, 3:5

3 to 5, 3-5, 3:5

3 to 5, 3/5, 3:5

3 to 5, 3*5, 3:5

Using a percentage

Using a colon

Using a fraction

Using words

A whole to a whole

A part to another part

A whole to a part

A part to a whole

5 lemons to 3 bell peppers

3 bell peppers to 8 total vegetables

8 total vegetables to 3 bell peppers

3 bell peppers to 5 lemons

5 lemons to 3 bell peppers

3 bell peppers to 8 total vegetables

8 total vegetables to 5 lemons

3 bell peppers to 5 lemons

Part-to-part compares two totals, part-to-whole compares a part to a part

Part-to-part compares two parts, part-to-whole compares a part to the total

Part-to-part compares a part to the total, part-to-whole compares two parts

Part-to-part compares a part to a part, part-to-whole compares two totals

A rate is always expressed as a fraction

A rate compares quantities with different units

A rate is always expressed with a colon

A rate compares quantities with the same units

3 apples to 5 oranges

60 miles using 2 gallons of gas

3/5

3:5

3/5

3:5

3 to 5

60 miles per 2 gallons