Unit 3 Ratios and Proportions Study Guide

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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 do you find a missing value in a ratio?

Back

To find a missing value in a ratio, set up a proportion and solve for the unknown.

Front

What does it mean to express a ratio in simplest form?

Back

Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

Front

If the ratio of birds to all animals is 3 to 18, what is the ratio in simplest form?

Back

The simplest form of the ratio 3 to 18 is 1 to 6.

Front

What is 20% of 65?

Back

20% of 65 is 13.

Front

If a gas tank costs $46.80 to fill and holds 13 gallons, what is the price per gallon?

Back

The price per gallon is $3.60.

Front

How do you convert a percentage to a ratio?

Back

To convert a percentage to a ratio, write the percentage as a fraction over 100 and simplify.

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.