Comparing Fractions with the Same Numerator: Comparing Size

This video tutorial teaches how to compare fractions with the same numerator by reasoning about their size. It explains the concept of equality and inequality using whole numbers and addresses common mistakes in fraction comparison, such as assuming a larger denominator means a larger fraction. The tutorial uses fractional models to visually demonstrate comparisons and provides a practical example involving sandwiches to illustrate the concept. The lesson concludes with key takeaways on comparing fractions effectively.

What is the correct symbol to use when comparing 2 and 5?

• =

• <

• >

• ≠

Why might someone mistakenly think 2/8 is larger than 2/4?

• Because 2/8 is a more common fraction

• Because 2/8 is closer to 1

• Because 2/8 has more parts shaded

• Because 8 is a larger number than 4

How does the size of the parts change as the denominator increases?

• The parts become equal to the numerator

• The parts stay the same size

• The parts get smaller

• The parts get larger

Which fraction is larger: 3/4 or 3/8?

• 3/4

• 3/8

• It depends on the context

• They are equal

In the sandwich example, who ate the larger portion?

• Neither, because they didn't finish their sandwiches

• Tracy, because she ate 1/5

• Jim, because he ate 1/2

• They both ate the same amount