Reducing Ratios Using Common Factors

This lesson teaches how to create equivalent ratios by reducing them using common factors. It begins with a review of what a ratio is and the different ways to write them. The lesson highlights common mistakes, such as not reducing ratios, and uses a cookie example to illustrate how to find equivalent ratios. The process of reducing ratios is explained, emphasizing the importance of expressing ratios in their simplest form, similar to fractions. The lesson concludes by summarizing the key points and reinforcing the need to reduce ratios fully.

What is a ratio?

• A mathematical operation

• A comparison between two or more related quantities

• A comparison between two or more unrelated quantities

• A type of fraction

Which of the following is NOT a way to write a ratio?

• As a decimal

• As a fraction

• Using the word 'to'

• Using a colon

What is a common mistake when dealing with ratios?

• Not using a colon

• Not writing them as fractions

• Not reducing them

• Not comparing quantities

In the cookie example, what is the fully simplified ratio of cookie pieces to frosting pieces?

• 1 to 2

• 4 to 2

• 8 to 4

• 2 to 1

How can you directly simplify the ratio 8 to 4 to its simplest form?

• Divide both numbers by 4

• Multiply both numbers by 2

• Divide both numbers by 2

• Multiply both numbers by 4

What is the term for ratios like 8 to 4, 4 to 2, and 2 to 1?

• Equivalent ratios

• Identical ratios

• Proportional ratios

• Fractional ratios

Why is it important to express ratios in their simplest form?

• To make them look nicer

• To make them easier to compare

• To avoid using fractions

• To increase their value