Understanding the Difference Between Fractions and Ratios

The video tutorial explains the differences between fractions and ratios, focusing on their definitions and representations. It highlights that a fraction is a numerical quantity representing a part of a whole, while a ratio is a comparison between quantities. The tutorial distinguishes between part to part and part to total ratios, noting that part to part ratios cannot be fractions, whereas part to total ratios can sometimes be equivalent to fractions. The video uses diagrams to illustrate these concepts and emphasizes the importance of context in understanding whether a ratio can be considered a fraction.

What is the primary difference between a fraction and a ratio?

• Both are comparisons.

• Both are numerical quantities.

• A fraction is a numerical quantity, while a ratio is a comparison.

• A fraction is a comparison, while a ratio is a numerical quantity.

Why can't a part-to-part ratio be considered a fraction?

• Because it doesn't compare anything to a total.

• Because it is always greater than one.

• Because it compares parts to a whole.

• Because it is a numerical quantity.

In a part-to-part ratio of 1 to 2, what does this represent?

• One part out of two total parts.

• One part compared to two parts.

• One part out of three total parts.

• One part compared to a whole.

How can a part-to-total ratio sometimes be equivalent to a fraction?

• When it is always less than one.

• When it compares a part to the total, similar to a fraction.

• When it represents a numerical quantity that is unchanging.

• When it represents a comparison between two unrelated quantities.

What is an example of a part-to-total ratio that can be a fraction?

• 1 to 2, representing one boy out of every two students.

• 2 to 3, representing two parts out of three total parts.

• 3 to 4, representing three parts compared to four parts.

• 4 to 5, representing four parts out of five total parts.

What is the key difference between equivalent fractions and equivalent ratios?

• Equivalent ratios are unchanging on a numerical line.

• Equivalent ratios are always numerical quantities.

• Equivalent fractions change the total amount.

• Equivalent fractions are set numerical quantities.

How can context help determine if a ratio is equivalent to a fraction?

• By identifying if it is a numerical pattern or a relationship pattern.

• By checking if it is always greater than one.

• By ensuring it is a part-to-part ratio.

• By confirming it is a comparison of unrelated quantities.