Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you determine if two ratios form a proportion?

Back

Cross-multiply the ratios; if the products are equal, the ratios form a proportion.

Front

What is the formula for calculating speed?

Back

Speed = Distance / Time.

Front

If a recipe calls for a ratio of 2:1 for flour to sugar, how much flour is needed for 3 tablespoons of sugar?

Back

You need 6 tablespoons of flour.

Front

What is the unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How do you find the unit price of an item?

Back

Divide the total price by the number of units to find the price per unit.

Front

What is the relationship between ratios and fractions?

Back

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

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first term by the sum of both terms and multiply by 100.