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RATES AND RATIOS
A ratio compares numbers or quantities in the same units.
EXAMPLE: 2:3 is a ratio, which means for every two parts of one thing, there are three parts of another
A rate compares numbers or quantities in different units.
EXAMPLE: $3.50 per kilogram when buying ham from the deli
Rates and ratios
Rates and ratios
Watch this video for a quick insight into the difference between a rate and a ratio.
RATES AND RATIOS IN THE REAL WORLD
SHOPPING / COOKING
A sale price might be given as "3 shirts for $50", showing a ratio of shirts to dollars.
A recipe might require 2 cups of flour for every 3 eggs, meaning a ratio of 2:3.
SPEED AND DISTANCE
A car traveling at 80 km/h is a rate, since it compares distance to time.
If a train takes 2 hours to travel 300 km, its speed is 150 km/h.
FINANCE AND WAGES
Hourly wages (e.g., $25 per hour) show a rate of money to time.
Interest rates on loans (e.g., 5% per year) show a ratio of interest to principal.
SPORT / FITNESS
A sprinter running 10 meters per second is a rate of speed.
A basketball player’s free throw success rate might be 80% (or 4 out of 5 shots made).
4 : 5
4 : 5
The total pieces of fruit are 9.
11 : 3
11 : 3
The total amount of shapes are 14.
Ratios can be written with more than two objects. For example;
flour ∶ water ∶ milk = 2 ∶ 3 ∶ 1
EQUIVALENT RATIOS
EQUIVALENT RATIOS
All the amounts in a ratio can be multiplied (or divided) by the same number to give an
equivalent ratio. Remember - what you do to one side - you have to do to the other!
SIMPLIFYING RATIOS
SIMPLIFYING RATIOS
The word simplify means to break down - to represent the number in the least complicated way.
Remember - what you do to one side - you have to do to the other!
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