Solving One-Step Multiplication Equations with Fractions

The video tutorial explains how to solve equations with fractional coefficients by using reciprocals. It demonstrates three examples: solving two-fifths x = 10, 14 = seven-thirds b, and one-sixth a = two-thirds. The key technique involves multiplying both sides of the equation by the reciprocal of the fraction to isolate the variable, simplifying the equation to find the solution.

What is the first step to solve the equation 2/5x = 10?

• Subtract 2/5 from both sides

• Multiply both sides by 5/2

• Add 5 to both sides

• Divide both sides by 2

Why do we multiply both sides of the equation by 5/2?

• To make the coefficient of x equal to 1

• To make the equation more complex

• To eliminate the variable x

• To add fractions

What is the result of multiplying 10 by 5/2?

• 30

• 15

• 25

• 20

What is the reciprocal of 7/3?

• 1/3

• 1/7

• 7/3

• 3/7

What is the simplified form of 3/7 * 14?

• 7

• 8

• 9

• 6

What is the first step to solve the equation 1/6a = 2/3?

• Add 1/6 to both sides

• Divide both sides by 2

• Multiply both sides by 6

• Subtract 2/3 from both sides

What is the result of multiplying 2 by 6?

• 10

• 12

• 16

• 14

What is the simplified form of 12/3?

• 2

• 4

• 3

• 5

What is the final value of a in the equation 1/6a = 2/3?

• 3

• 5

• 2

• 4

Why do we multiply both sides of the equation by the reciprocal?

• To make the equation more complex

• To make the coefficient of the variable equal to 1

• To eliminate the variable

• To add fractions