Comparing Fractions with the Same Numerator

This video tutorial teaches how to compare fractions with the same numerator by reasoning about their size. It explains that fractions with larger denominators are not necessarily larger and uses fractional models to illustrate this concept. The tutorial also addresses common mistakes, such as assuming a larger denominator means a larger fraction. Practical examples, like comparing parts of a sandwich, are used to reinforce the lesson. The key takeaway is understanding that more parts in a fraction mean smaller parts, and this knowledge helps in comparing fractions effectively.

What symbol is used when comparing two numbers and one is smaller?

• >

• <

• =

• !=

How do we compare fractions with the same numerator?

• By comparing denominators

• By drawing models

• Cannot be compared

• By the color of the fraction

Is a fraction with a larger denominator always larger?

• Only if the numerator is the same

• Yes

• No

• Cannot be determined

Which fraction is larger, two-fourths or two-eighths?

• Both are equal

• Two-eighths

• Cannot be determined

• Two-fourths

What mistake do people often make when comparing fractions?

• Ignoring the denominator

• Ignoring the numerator

• Thinking a larger denominator means a larger fraction

• Thinking a larger numerator means a larger fraction

In comparing fractions, what does a larger denominator indicate about the size of each part?

• Each part is larger

• Cannot determine the size

• Each part is smaller

• Size of parts is unchanged

Between one-fourth and one-half, which is larger?

• One-half

• Cannot be determined

• Both are equal

• One-fourth

What does the numerator tell us in a fraction?

• The color of the parts

• The total number of parts

• The size of each part

• How many parts we are considering

Which fraction is greater, three-fourths or three-eighths?

• Cannot be determined

• Both are equal

• Three-eighths

• Three-fourths

Who ate a larger part of their sandwich, Tracy or Jim?

• Tracy

• Jim

• Both ate the same amount

• Cannot be determined