Lesson Example Discussion Quiz: Class Homework |
Step-1 |
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 \$6 : x\$ = \$32 : 15\$. |
|
2 |
Step |
Given Proportion |
\$6 : x\$ = \$32 : 15\$ |
3 |
Step |
First, convert the provided proportion into a fraction |
\$6/x\$ = \$32/15\$ |
4 |
Step |
To solve the proportion, begin by cross-multiplying |
\$(15 \times 6)\$ = \$(32 \times x)\$ ⇒ \$90 = 32x\$ |
5 |
Step |
Divide both sides by the number connected to the variable |
\$90/32 = (32x)/32\$ |
6 |
Step |
The value of x is: |
\$x\$ = \$90/32\$ = \$2.8125 \$ |
7 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
8 |
Choice.A |
This is the incorrect answer. It appears to be a close value, but the accurate result is 2.8125 |
2.8142 |
9 |
Choice.B |
It is correct because it accurately represents the solution to the given proportion |
2.8125 |
10 |
Choice.C |
This is the incorrect answer. It is a different value, and it does not match the result of the proportion |
2.4125 |
11 |
Choice.D |
This is the incorrect answer. It is close, but the accurate value is 2.8125 |
2.8152 |
12 |
Answer |
Option |
B |
13 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
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