Comparing Fractions Using Benchmark Fractions

The video tutorial explains how to compare fractions with equal denominators, equal numerators, and different numerators and denominators using benchmark fractions. It demonstrates the use of one-half as a benchmark to compare fractions like four-sevenths and seven-sixteenths. The tutorial also covers ordering fractions and highlights the importance of benchmark fractions as reference points for evaluating and comparing other fractions.

Which fraction is larger: 3/4 or 2/4?

• Both are equal

• 2/4

• 3/4

• Cannot be determined

If two fractions have the same numerator, which one is larger?

• Cannot be determined without knowing the specific fractions

• Both are equal

• The one with the larger denominator

• The one with the smaller denominator

How can we compare fractions with different numerators and denominators?

• Using a common denominator

• By converting them to decimals

• Comparing them to a benchmark fraction

• It's not possible to compare them

Is 4/7 larger than 1/2?

• Yes

• Cannot be determined

• No

• They are equal

Is 7/16 larger than 1/2?

• No

• Yes

• They are equal

• Cannot be determined

Which fraction is the smallest?

• They are all equal

• 4/7

• 1/2

• 7/16

What is the correct order of the fractions from largest to smallest?

• 1/2, 7/16, 4/7

• 1/2, 4/7, 7/16

• 7/16, 1/2, 4/7

• 4/7, 1/2, 7/16

What are benchmark fractions?

• Fractions with different numerators and denominators

• Common and easily comparable fractions

• Fractions with the same denominators

• Fractions that are difficult to compare

Why do we use benchmark fractions?

• To find the least common denominator

• To simplify fractions

• To make fractions easier to add

• To compare other fractions

How did we determine which fraction was greater between 4/7 and 7/16?

• By comparing each to 1/2

• By finding a common denominator

• By converting them to decimals

• By adding them together