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 requires 2 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

5 cups of flour.

Front

What is the formula for finding the speed?

Back

Speed = Distance ÷ Time.

Front

If it takes 30 minutes to drive 15 miles, what is the speed in miles per hour?

Back

30 miles per hour.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same value.

Front

How do you find the better deal when comparing prices?

Back

Calculate the unit price for each option and compare them; the lower unit price is the better deal.

Front

If 3 boxes require 9 square feet of wrapping paper, how much is needed for 12 boxes?

Back

36 square feet of wrapping paper.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, often written as a/b = c/d.