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Step-4

Title: Proportion

Grade: 8-a Lesson: S2-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	we can multiply the first ratio by 2 and the second ratio by 3:	\$(2 \times 2) : (3 \times 2) = 4 : 6\$
6	Step	Now the value of b is the same in both ratios and we can combine them:	\$(2 \times 3) : (4 \times 3)\$ = \$6 : 12\$
7	Step	Therefore, the ratio of a: b: c is:	\$4 : 6 : 12\$
8		Answer	A

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

\$b\$

Step

we can multiply the first ratio by 2 and the second ratio by 3:

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

Step

Now the value of b is the same in both ratios and we can combine them:

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

Step

Therefore, the ratio of a: b: c is:

\$4 : 6 : 12\$

Answer