Comparing and Scaling Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

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 unit' (e.g., miles per hour).

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How do you find a missing value in a proportion?

Back

To find a missing value in a proportion, cross-multiply and solve for the unknown.

Front

If it takes 4 hours to paint 2 rooms, how long will it take to paint 5 rooms?

Back

It will take 10 hours to paint 5 rooms.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

If 3 apples cost $1.50, what is the cost of 5 apples?

Back

The cost of 5 apples is $2.50.

Front

What is the scale factor in a scale drawing?

Back

The scale factor is the ratio of a length in the drawing to the corresponding length in the actual object.

Front

If a car travels 60 miles in 1 hour, what is its speed in miles per minute?

Back

The speed is 1 mile per minute.