Decomposing Fractions and Summing Numerators

In this video tutorial, Ozzie introduces the concept of decomposing fractions into a sum of fractions. The tutorial covers examples such as decomposing 5/7 and 9/4, explaining how to break down the numerators to form equivalent expressions. The video also includes a practical example with the fraction 7/8, demonstrating how to verify the correctness of decomposed expressions. The session concludes with encouragement for viewers to practice the skills learned.

What is the first step in decomposing a fraction?

• Multiply the fraction by 2

• Divide the fraction by 2

• Look at the numerator

• Look at the denominator

Which of the following is a correct decomposition of 5/7?

• 1/7 + 4/7

• 2/7 + 2/7

• 1/7 + 3/7

• 3/7 + 3/7

How can 9/4 be decomposed?

• Using numerators 2 and 7

• Using numerators 4 and 5

• Using numerators 3 and 6

• Using numerators 1 and 8

What should the sum of the numerators be when decomposing 9/4?

• 13

• 4

• 7

• 9

Which of the following is a correct decomposition of 9/4?

• 2/4 + 3/4 + 4/4

• 1/4 + 2/4 + 6/4

• 3/4 + 3/4 + 3/4

• 2/4 + 3/4 + 1/4 + 3/4

What is the sum of the numerators in the expression 2/4 + 3/4 + 1/4 + 3/4?

• 9

• 6

• 8

• 7

Which expression correctly sums to 7/8?

• 1/8 + 3/8 + 4/8

• 2/8 + 2/8 + 3/8

• 3/8 + 1/8 + 3/8

• 6/8 + 1/8 + 2/8

What is the sum of the numerators in the expression 3/8 + 1/8 + 3/8?

• 6

• 7

• 8

• 9

Which of the following expressions is incorrect for 7/8?

• 1/8 + 3/8 + 3/8

• 6/8 + 1/8

• 4/8 + 3/8

• 3/8 + 2/8 + 2/8

What should you do after learning to decompose fractions?

• Forget about it

• Ask someone else to do it

• Practice on your own

• Ignore it