Solving Equations with Fractions

The video tutorial explains how to solve equations involving fractions by eliminating denominators through multiplication. It introduces an alternative method using reciprocal multiplication for faster solutions. The tutorial provides examples of solving equations with complex fractions and emphasizes the use of common denominators to clear fractions. It also demonstrates solving equations with small denominators efficiently.

What is the first step to solve an equation with fractions?

• Divide both sides by the numerator

• Subtract the fractions

• Multiply both sides by the denominator

• Add the fractions

How can you solve an equation faster using the reciprocal?

• Subtract the reciprocal from both sides

• Multiply both sides by the reciprocal

• Divide both sides by the reciprocal

• Add the reciprocal to both sides

In the example 5/8x + 4 = 14, what should be done first?

• Multiply by 8

• Subtract 4 from both sides

• Divide by 5

• Add 4 to both sides

What is the value of x in the equation 5x = 80?

• 10

• 20

• 15

• 16

What is the best way to handle equations with two fractions?

• Multiply by the least common denominator

• Subtract the fractions

• Divide by the greatest common factor

• Add the fractions

What is the result of multiplying 15 by 1/3?

• 10

• 5

• 3

• 15

In the equation x/2 + 5 = 1/4, what is the first step to clear fractions?

• Subtract 1/4

• Add 5

• Multiply by 4

• Multiply by 2

What is the value of x when 2x + 20 = 1?

• -9.5

• 19

• -19

• 9.5

What is the final step to solve for x in the equation 2x = -19?

• Add 19

• Subtract 19

• Multiply by 2

• Divide by 2

What is the value of x in the equation x = -19/2?

• 19

• -19

• 9.5

• -9.5