Ratios

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 express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is the difference between a ratio and a fraction?

Back

A ratio compares two quantities, while a fraction represents a part of a whole.

Front

How can ratios be represented?

Back

Ratios can be represented in three ways: using a colon (e.g., 4:3), as a fraction (e.g., 4/3), or in words (e.g., '4 to 3').

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole to each other.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part of a whole to the entire whole.

Front

How do you convert a ratio to a fraction?

Back

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

Front

What is the significance of equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between quantities, even if the numbers are different.

Front

How do you find an unknown in a ratio?

Back

To find an unknown in a ratio, set up a proportion and solve for the unknown variable.

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).