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Lesson Example Discussion Quiz: Class Homework

Step-4

Title: Ratio & Proportion

Grade: 1300-a Lesson: S4-L7

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	If a : b = 2 : 3 and b : c = 2 : 4 then a : b : c ?
2	Step	Given that	a : b = 2 : 3 & b : c = 2 : 4
3	Step	Ratio 1 Ratio 2	\$2 : 3\$ \$2 : 4\$
4	Step	The common element in both ratios is	b
5	Step	Multiply the second ratio by 2 and the second ratio by 3:	\$(2 \times 2) : (3 \times 2)\$ = 4 : 6 \$(2 \times 3) : (4 \times 3)\$ = 6 : 12
6	Step	Combined the ratio of a: b: c is:	4 : 6 : 12
7	Step	Divide all terms by 2 to simplify the ratio	2 : 3 : 6
8	SumUp	Can you summarize what you’ve understood in the above steps?
9	Choice.A	The simplified ratio after combining the given ratios is correct	2 : 3 : 6
10	Choice.B	This option is wrong. The relationship between a, b, and c is not accurately reflected	2 : 6 : 4
11	Choice.C	Incorrect. Implies a = 4b, contradicting a : b = 2 : 3	4 : 6 : 6
12	Choice.D	This option doesn’t maintain the correct ratios given for a : b and b : c	6 : 12 : 4
13	Answer	Option	A
14	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

If a : b = 2 : 3 and b : c = 2 : 4 then a : b : c ?

Step

Given that

a : b = 2 : 3 & b : c = 2 : 4

Step

Ratio 1

Ratio 2

\$2 : 3\$

\$2 : 4\$

Step

The common element in both ratios is

Step

Multiply the second ratio by 2 and the second ratio by 3:

\$(2 \times 2) : (3 \times 2)\$ = 4 : 6

\$(2 \times 3) : (4 \times 3)\$ = 6 : 12

Step

Combined the ratio of a: b: c is:

4 : 6 : 12

Step

Divide all terms by 2 to simplify the ratio

2 : 3 : 6

SumUp

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

Choice.A

The simplified ratio after combining the given ratios is correct

2 : 3 : 6

Choice.B

This option is wrong. The relationship between a, b, and c is not accurately reflected

2 : 6 : 4

Choice.C

Incorrect. Implies a = 4b, contradicting a : b = 2 : 3

4 : 6 : 6

Choice.D

This option doesn’t maintain the correct ratios given for a : b and b : c

6 : 12 : 4

Answer

Option

SumUp

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