Understanding Ratios and Fractions

The video tutorial explains ratio notation, emphasizing the importance of order in writing ratios. It distinguishes between part-to-part and part-to-whole ratios, using fractions as an example of the latter. Through examples, it demonstrates how to calculate and interpret ratios and fractions, including a problem involving donuts and another involving students and tables in a classroom. The tutorial highlights different ways to represent the same scenario with ratios, showing that both simplified and total representations can be correct.

What is a key aspect to remember when writing ratios?

• The order of terms is crucial.

• Ratios must always be simplified.

• Ratios should always be written as fractions.

• The order of terms is not important.

How is a part-to-whole ratio commonly represented?

• As a percentage

• As a fraction

• As a decimal

• As a whole number

In the example with sections, what is the ratio of unshaded to shaded sections?

• 1 to 6

• 1 to 5

• 6 to 1

• 5 to 1

What is the fraction of shaded sections in the example?

• 1/5

• 5/6

• 6/1

• 1/6

In the donuts example, how many donuts did not have sprinkles?

• 10

• 24

• 12

• 2

What fraction of the donuts did not have sprinkles?

• 2/24

• 12/24

• 10/24

• 14/24

How many students are there in total in the classroom example?

• 6

• 30

• 12

• 24

What does the ratio 4 to 1 represent in the classroom example?

• 4 tables per student

• 4 students per table

• 4 students in total

• 1 student per 4 tables

What is the equivalent ratio of 24 students to 6 tables?

• 4 to 1

• 6 to 1

• 24 to 1

• 1 to 6

Why are both Justin's and Desiree's ratios considered correct?

• They both use the same numbers.

• They represent different aspects of the same scenario.

• They both use fractions.

• They are both in simplest form.