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Step-3

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 is 3 : 4 and b : c is 2 : 5. Find a: b: c.
2	Step	Given that.	a : b = 3 : 4 & b : c = 2 : 5
3	Step	Ratio 1 Ratio 2	\$3 : 4\$ \$2 : 5\$
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 4:	\$(3 \times 2) : (4 \times 2) = 6 : 8\$
6	Step	Now the value of b is the same in both ratios and we can combine them:	\$(2 \times 4) : (5 \times 4)\$ = \$8 : 20\$
7	Step	Therefore, the ratio of a: b: c is:	\$6 : 8 : 20\$
8		Answer	C

Step

Type

Explanation

Answer

Problem

If a : b is 3 : 4 and b : c is 2 : 5. Find a: b: c.

Step

Given that.

a : b = 3 : 4 & b : c = 2 : 5

Step

Ratio 1
Ratio 2

\$3 : 4\$
\$2 : 5\$

Step

The common element in both ratios is

\$b\$

Step

we can multiply the first ratio by 2 and the second ratio by 4:

\$(3 \times 2) : (4 \times 2) = 6 : 8\$

Step

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

\$(2 \times 4) : (5 \times 4)\$ = \$8 : 20\$

Step

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

\$6 : 8 : 20\$

Answer