Solving Equations by Clearing Fractions

• 5

• 2

• 10

• 15

To clear the denominators from the equation, Mrs. Davey multiplied on both sides by 6. Which choice below shows the next step in solving the equation?

On the picture below, draw how you would multiply both sides by the common denominator to clear the fractions from the equation.

Answer explanation

The common denominator for 2 and 4 would be 4! Multiply BOTH sides of the equation by 4, to clear ALL the denominators from the equation.

True or False: Mrs. Davey multiplied by the correct common denominator AND distributed her multiplication correctly.

• Partially True, Mrs. Davey used the correct common denominator BUT did not distribute correctly.

• ALL FALSE

• ALL TRUE

Mrs. Davey made a mistake when distributing the common denominator as shown below. Which choice correctly describes her mistake?

• She multiplied the 6 times m incorrectly, it shouldn't be 6m.

• She multiplied the 6 times 2/3 incorrectly, it shouldn't be 4.

• She multiplied the 6 times 1/6m incorrectly, it shouldn't be 1m.

• She multiplied the 6 times -1 incorrectly, it shouldn't be -1.

Using a sheet of scrap paper, solve the following equation by clearing the denominators. Type in the solution to the box below.

Answer explanation