Comparing Fractions with 1/2

The video tutorial explains how to compare fractions using the benchmark fraction 1/2. It introduces the concept of benchmark fractions and demonstrates how fractions like 2/4, 3/6, 4/8, and 6/12 are equivalent to 1/2. The tutorial then uses this knowledge to compare fractions such as 2/3 and 3/8, 5/12 and 7/10, and 2/5 and 3/6, showing how to determine which fractions are greater or less than others by comparing them to 1/2.

What is a benchmark fraction?

• A fraction that is difficult to understand

• A fraction that is easy to count by and helps in understanding numbers

• A fraction that cannot be simplified

• A fraction that is only used in advanced mathematics

Which of the following fractions is equivalent to 1/2?

• 3/6

• 7/14

• 2/5

• 5/10

How is 2/4 related to 1/2?

• 2/4 is double of 1/2

• 2/4 is less than 1/2

• 2/4 is equivalent to 1/2

• There is no relation

What is the relationship between the numerator and denominator in fractions equivalent to 1/2?

• The numerator is half of the denominator

• The numerator and denominator are equal

• The numerator is less than the denominator

• The numerator is double the denominator

Is 2/3 larger, smaller, or equal to 3/8?

• Larger

• Smaller

• Equal

• Cannot be determined

Why is 2/3 considered larger than 3/8?

• Because 3/8 is equivalent to 1/2

• Because 2/3 is greater than the benchmark fraction 1/2

• Because 2/3 is closer to 1

• Because 3/8 is less than 1/2

Which fraction is smaller: 5/12 or 7/10?

• 7/10

• Cannot be determined

• 5/12

• Both are equal

How do we know 7/10 is greater than 1/2?

• Because 7/10 is a benchmark fraction

• Because 7 is more than half of 10

• Because 5/12 is less than 1/2

• Because 7/10 is less than 5/12

Is 2/5 larger, smaller, or equal to 3/6?

• Equal

• Smaller

• Larger

• Cannot be determined

Why is 2/5 considered smaller than 3/6?

• Because 2/5 is more than 1/2

• Because 3/6 is less than 1/2

• Because 3/6 is equivalent to 1

• Because 2/5 is less than the benchmark fraction 1/2