SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Step-3

Title: Simplifying Fractions

Grade: 5-a Lesson: S1-L8

Explanation: Hello Students, time to practice and review the steps. Let us take next 2-5 minutes to solve the steps for the problems. This is a good exercise to check your understanding of the concepts.Second student to identify and review important steps.Focus on understanding the concepts and application to solving problems step by step.

Discussion: Step1 Step2 Step3 Step4 Step5 Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Determine whether the simplified fraction of \$36/42\$ is equal to \$6/7\$?
2	Hint	To find the greatest common divisor (GCD) for each number.
3	Step	Factors for 36 is Factors for 42 is	1, 2, 3, 4, 6, 9, 12, 18, 36 1, 2, 3, 6, 7, 14, 21, 42
4	Step	The GCD for 36 and 42 is	6
5	Step	Divide both the numerator and the denominator by the GCD	36 ÷ 6 = 6 42 ÷ 6 = 7
6	Step	So, after simplifying, we get	\$6/7\$.
7	Step	Yes, \$6/7\$ is an equivalent fraction of \$6/7\$.
8	Answer	Option	B
9	Sumup	Can you summarize what you’ve understood in the above steps?
10	Choice.A	This option is incorrect. The simplified fraction \$36/42\$ is equal to \$6/7\$, so it contradicts the correct comparison	No
11	Choice.B	This option is correct. The simplified fraction \$36/42\$ is indeed equal to \$6/7\$	Yes
12	Choice.C	This option is incorrect. "Yes" is the correct answer, so it’s impossible for both "Yes" and "No" to be correct	Both A&B
13	Choice.D	This option is incorrect. The correct answer is "Yes" because the simplified fractions are equal to \$6/7\$	None
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Determine whether the simplified fraction of \$36/42\$ is equal to \$6/7\$?

Hint

To find the greatest common divisor (GCD) for each number.

Step

Factors for 36 is Factors for 42 is

1, 2, 3, 4, 6, 9, 12, 18, 36
1, 2, 3, 6, 7, 14, 21, 42

Step

The GCD for 36 and 42 is

Step

Divide both the numerator and the denominator by the GCD

36 ÷ 6 = 6
42 ÷ 6 = 7

Step

So, after simplifying, we get

\$6/7\$.

Step

Yes, \$6/7\$ is an equivalent fraction of \$6/7\$.

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?

Choice.A

This option is incorrect. The simplified fraction \$36/42\$ is equal to \$6/7\$, so it contradicts the correct comparison

Choice.B

This option is correct. The simplified fraction \$36/42\$ is indeed equal to \$6/7\$

Yes

Choice.C

This option is incorrect. "Yes" is the correct answer, so it’s impossible for both "Yes" and "No" to be correct

Both A&B

Choice.D

This option is incorrect. The correct answer is "Yes" because the simplified fractions are equal to \$6/7\$

None

Sumup

Can you summarize what you’ve understood in the above steps?

Discussion: Step1 Step2 Step3 Step4 Step5