Understanding Ratios and Rates

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 rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour).

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator.

Front

What is the scale of a map?

Back

The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground.

Front

How do you find the equivalent ratio of two numbers?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the formula to calculate speed?

Back

Speed = Distance / Time.

Front

How do you solve for an unknown in a ratio problem?

Back

Set up a proportion using the known ratios and cross-multiply to solve for the unknown.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and they represent the same relationship between quantities.

Front

How do you calculate the total amount needed based on a ratio?

Back

Multiply the known quantity by the ratio's corresponding factor to find the total amount needed.