Ratios & Proportions
What is a ratio?
A ratio is a comparison of two quantities.
How do you write the ratio of 10 to 15 in simplest form?
The ratio of 10 to 15 in simplest form is 2:3
What is the sum of 2.5 and 3.1?
The sum of 2.5 and 3.1 is 5.6
What is the difference between whole numbers and integers?
Whole numbers are non-negative integers (0, 1, 2, …), while integers include negative numbers as well (-1, 0, 1, …)
If there are 3 apples and 5 oranges, what is the ratio of apples to oranges?
The ratio of apples to oranges is 3:5
If there are 8 boys and 12 girls in a class, what is the ratio of girls to boys?
The ratio of girls to boys is 12:8 or 3:2 in simplest form.
Multiply 0.6 by 4.
0.6×4=2.4
What is the absolute value of -7?
The absolute value of -7 is 7
If a recipe calls for 4 cups of flour for every 2 cups of sugar, what is the ratio of flour to sugar?
The ratio of flour to sugar is 2:1
What does it mean if two ratios are equivalent?
Two ratios are equivalent if they have the same value when simplified.
What is 5.75 - 2.8?
5.75−2.8=2.95
How do you convert the fraction 3/4 to a decimal?
3 divided by 4
If a car travels 150 miles on 5 gallons of gas, what is the unit rate in miles per gallon?
The unit rate is 30 miles per gallon
In a class of 30 students, if 12 are wearing glasses, what is the ratio of students wearing glasses to the total number of students?
The ratio of students wearing glasses to total students is 12:30 or 2:5 in simplest form.
Divide 9.6 by 1.2
9.6÷1.2=8
What is the least common multiple of 4 and 6?
The least common multiple of 4 and 6 is 12
A map has a scale of 1 inch to 20 miles. If two cities are 3 inches apart on the map, how far apart are they in real life?
The distance between the two cities is 60 miles.
If a recipe is doubled, how does the ratio of ingredients change?
The ratio of ingredients remains the same; it is still the same ratio, just doubled in quantity.
If a shirt costs $19.99 and is on sale for 25% off, what is the sale price?
The sale price is $14.99
If you have the number 1.25 and you add 0.75, what is the result?
The result of 1.25 + 0.75 is 2.0