Step-4

Title: Proportion

Grade: 8-a Lesson: S4-L6

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Solving the Proportion \$3 : 6\$ = \$3x : 4\$

2

Step

Given Proportion

\$3 : 6\$ = \$3x : 4\$

3

Step

First, convert the provided proportion into a fraction

\$3/6\$ = \$(3x) / 4\$

4

Step

To solve the proportion, begin by cross-multiplying

\$3 \times 4\$ = \$3x \times 6\$

⇒ \$12 = 18x\$

5

Step

Divide both sides by the number connected to the variable

\$12/18 = x/18\$

6

Step

The value of x is:

\$x = 2/3\$

7

SumUp

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

8

Choice.A

It is correct because it correctly represents the solution to the given proportion

\$2/3\$

9

Choice.B

This is not correct; the correct value of x is \$2/3\$, not \$3/2\$

\$3/2\$

10

Choice.C

This is equivalent to \$1/3\$, not \$2/3\$, so it is incorrect

\$2/6\$

11

Choice.D

This is not correct; the correct value of x is \$2/3\$, not \$4/5\$

\$4/5\$

12

Answer

Option

A

13

SumUp

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


Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 26-February-2024 09:20AM EST