Ratio Definitions
What is a ratio?
A ratio is a comparison of two quantities using division.
Convert 4:8 into a fraction.
4/8 or simplified to 1/2
Convert 0.25 to a percentage
25%
What is the price per kg of a $3 box of cereal with 12 kg?
Price per kg = $3 ÷ 12 = $0.25 per kg.
If a recipe calls for 2 cups of sugar and you need to make 3 times the recipe, how much sugar is needed?
2 cups × 3 = 6 cups of sugar.
What is a part-whole ratio?
A part-whole ratio compares a part of something to the whole of it (e.g., 2 out of 5 apples).
Convert 3:5 into a decimal.
0.6
Convert 60% into a fraction.
60% = 60/100 = 3/5
What is the ratio of red apples to total apples if there are 7 red apples out of 20 total apples?
Ratio: 7:20.
A recipe calls for 2 eggs for every 3 cups of flour. How many eggs are needed for 9 cups of flour?
9 ÷ 3 = 3 times, so 3 × 2 eggs = 6 eggs.
What is a part-part ratio?
A part-part ratio compares one part to another part (e.g., the ratio of boys to girls in a class).
Convert 5:10 into a fraction and decimal.
Fraction: 5/10 (simplified to 1/2), Decimal: 0.5.
Convert 3/4 into a percentage.
75%
If you buy 3 pencils for $2, what is the cost per pencil?
Cost per pencil = $2 ÷ 3 = $0.67 per pencil.
If a car uses 4 liters of fuel to travel 40 kilometers, how much fuel does it use to travel 120 kilometers?
(120 ÷ 40) × 4 = 12 liters of fuel.
What is a proportion?
A proportion is an equation that shows two ratios are equal.
Convert 6:9 into a decimal and percentage
Decimal: 0.6667, Percentage: 66.67%
Convert 1/8 into a decimal.
0.125.
What is the ratio of boys to girls if there are 12 boys and 18 girls in a classroom?
Ratio: 12:18 (simplified to 2:3).
If a 12-pack of soda costs $6, how much would 36 cans cost?
Price per can = $6 ÷ 12 = $0.50 per can, so 36 cans would cost 36 × $0.50 = $18.
How do you simplify a ratio?
To simplify a ratio, divide both parts of the ratio by their greatest common divisor (e.g., 4:6 simplifies to 2:3).
Convert 7:14 into a fraction, decimal, and percentage
Fraction: 7/14 (simplified to 1/2), Decimal: 0.5, Percentage: 50%.
Convert 1.25 into a fraction and percentage.
Fraction: 5/4, Percentage: 125%.
A store sells 3 pens for $4. What is the price per pen?
Price per pen = $4 ÷ 3 = $1.33 per pen.
If a recipe calls for 3 cups of flour for every 4 cups of sugar, and you use 12 cups of sugar, how many cups of flour are needed?
(12 ÷ 4) × 3 = 9 cups of flour.