How do you solve proportions

How do you solve proportions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains two methods for solving proportions: using the Least Common Multiple (LCM) and cross multiplication. The LCM method involves finding the smallest multiple that both denominators divide into, then multiplying both sides of the equation by this number. Cross multiplication is often simpler, involving multiplying the cross products of the fractions. Both methods require simplification, combining like terms, and solving the resulting equation. The tutorial emphasizes understanding both methods to choose the most effective one for different problems.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is often considered simpler for solving proportions?

Using the Least Common Multiple (LCM)

Using the Least Common Denominator (LCD)

Cross multiplication

None of the above

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a proportion using the LCM or LCD method?

Cross multiply the fractions

Add the numerators

Identify the smallest multiple both denominators divide into

Subtract the denominators

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using the LCM or LCD method, what must you do after multiplying both sides by the LCM or LCD?

Simplify the equation by combining like terms

Add the LCM or LCD to both sides

Subtract the LCM or LCD from both sides

Divide both sides by the LCM or LCD

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In cross multiplication, what should you do after multiplying the cross products?

Subtract the cross products

Divide the cross products

Add the cross products

Apply the distributive property if necessary

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key advantage of using cross multiplication for solving proportions?

It allows for solving without simplifying

It involves adding the fractions

It requires finding the LCM or LCD

It can be done with the brain on autopilot