SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Step-1

Title: Equivalent Fraction

Grade: 4-a Lesson: S2-L2

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	Write a fraction equivalent to the following fractions \$7/9\$, \$21/27\$?
2	Step	To find the greatest common divisor (GCD) for each number: Factors for 21 is Factors for 27 is	1, 3, 7, 21 1, 3, 9, 27
3	Step	The GCD for 21 and 27 is 3 Divide both the numerator and the denominator by the GCD	\$(21 ÷ 3)/(27 ÷ 3) = 7/9\$
4	Step	Evaluate each option:	80 = \$16 \times ?\$
5	Step	Simplify this fraction by finding the GCD of 108 and 84, which is 12. Divide both the numerator and denominator by 12:	\$(84 ÷ 12) / (108 ÷ 12) = 7/9\$
6	Step	Simplify this fraction by finding the GCD of 48 and 108, which is 12. Divide both the numerator and denominator by 12:	\$(48 ÷ 12) / (108 ÷ 12) = 4/9\$
7	Step	So, the equivalent fractions to \$7/9\$, \$21/27\$, and \$84/108\$.
8	Answer	Option	B
9	Sumup	Can you summarize what you’ve understood in the above steps?
10	Choice.A	This option is incorrect because its numerator (108) and denominator (84) do not match the simplified fractions.	\$108/84\$
11	Choice.B	This option is correct because, when \$84/108\$ is simplified it gives the equivalent fraction of \$7/9\$	\$84/108\$
12	Choice.C	This option is incorrect because its numerator 48 and denominator 108 do not match the given equivalent fractions	\$48/108\$
13	Choice.D	This option is incorrect because it’s numerator 84 and denominator 109 will not form equivalent fractions with \$21/27\$ or \$7/9\$	\$84/109\$
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Write a fraction equivalent to the following fractions \$7/9\$, \$21/27\$?

Step

To find the greatest common divisor (GCD) for each number:
Factors for 21 is
Factors for 27 is

1, 3, 7, 21
1, 3, 9, 27

Step

The GCD for 21 and 27 is 3
Divide both the numerator and the denominator by the GCD

\$(21 ÷ 3)/(27 ÷ 3) = 7/9\$

Step

Evaluate each option:

80 = \$16 \times ?\$

Step

Simplify this fraction by finding the GCD of 108 and 84, which is 12.
Divide both the numerator and denominator by 12:

\$(84 ÷ 12) / (108 ÷ 12) = 7/9\$

Step

Simplify this fraction by finding the GCD of 48 and 108, which is 12.
Divide both the numerator and denominator by 12:

\$(48 ÷ 12) / (108 ÷ 12) = 4/9\$

Step

So, the equivalent fractions to \$7/9\$, \$21/27\$, and \$84/108\$.

Answer

Option

Sumup

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

Choice.A

This option is incorrect because its numerator (108) and denominator (84) do not match the simplified fractions.

\$108/84\$

Choice.B

This option is correct because, when \$84/108\$ is simplified it gives the equivalent fraction of \$7/9\$

\$84/108\$

Choice.C

This option is incorrect because its numerator 48 and denominator 108 do not match the given equivalent fractions

\$48/108\$

Choice.D

This option is incorrect because it’s numerator 84 and denominator 109 will not form equivalent fractions with \$21/27\$ or \$7/9\$

\$84/109\$

Sumup

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

Discussion: Step1 Step2 Step3 Step4 Step5