Fraction Busting Techniques and Proportions

This video tutorial explains how to solve proportions using a method called fraction busting. The instructor demonstrates this technique with two examples: solving 4/15 = 10/x and x/16 = 45/60. The method involves multiplying both sides of the proportion by the denominators to eliminate them, simplifying the equation to find the value of x.

What is the main technique discussed in the video for solving proportions?

• Cross-multiplication

• Fraction busting

• Graphing

• Substitution

What does fraction busting involve?

• Subtracting fractions

• Dividing both sides by numerators

• Adding fractions

• Multiplying both sides by denominators

In the first example, what is the initial equation given?

• x/16 = 45/60

• 4/15 = 10/x

• 16/x = 60/45

• x/15 = 10/4

How is the variable x eliminated from the denominator in the first example?

• By subtracting x from both sides

• By dividing both sides by x

• By multiplying both sides by x

• By adding x to both sides

After eliminating x, what is the next step in the first example?

• Eliminate 15 from the numerator

• Eliminate 15 from the denominator

• Add 15 to both sides

• Subtract 15 from both sides

What is the equation obtained after eliminating both denominators in the first example?

• x = 37.5

• 4x = 150

• x = 150/4

• 4x = 10

How is the equation 4x = 150 solved?

• By multiplying both sides by 4

• By dividing both sides by 4

• By adding 4 to both sides

• By subtracting 4 from both sides

What is the value of x in the first example?

• 15

• 4

• 150

• 37.5

In the second example, what is the initial equation given?

• 4/15 = 10/x

• 16/x = 60/45

• x/16 = 45/60

• x/15 = 10/4

How is the denominator 16 eliminated in the second example?

• By adding 16 to both sides

• By multiplying both sides by 16

• By dividing both sides by 16

• By subtracting 16 from both sides