Solving Equations with Fractions

The video tutorial explains how to solve equations containing fractions. It covers two main equations, demonstrating how to find a common denominator to simplify terms and isolate the variable. The first equation involves combining like terms and using the reciprocal to solve for x. The second equation requires isolating variable terms on one side and simplifying using a common denominator. The tutorial emphasizes understanding the process of working with fractions and variables in equations.

What is the first step in solving an equation with fractions?

• Clear the fractions by multiplying by the least common denominator.

• Subtract the smallest term from both sides.

• Add all terms to one side of the equation.

• Divide all terms by the largest coefficient.

How do you find a common denominator for fractions with denominators 3 and 4?

• Subtract the smaller denominator from the larger one.

• Add the denominators together.

• Find the least common multiple of the denominators.

• Multiply the denominators together.

What is the result of combining the like terms 4/12x and 3/12x?

• 12/12x

• 7/12x

• 1/12x

• 4/12x

What operation is equivalent to dividing by a fraction?

• Multiplying by the reciprocal of the fraction.

• Adding the fraction to both sides.

• Subtracting the fraction from both sides.

• Dividing by the reciprocal of the fraction.

What is the solution to the equation x = 36/7?

• x = 5.14

• x = 5

• x = 36/7

• x = 7/36

In the second equation, what is the first step to isolate the variable terms?

• Subtract 8x from both sides.

• Divide both sides by 6.

• Add 8x to both sides.

• Multiply both sides by 11.

What is the least common denominator for the fractions in the second equation?

• 11

• 1

• 6

• 88

What is the result of combining the like terms 6/11x and -88/11x?

• -6/11x

• 6/11x

• 82/11x

• -82/11x

What is the solution to the second equation?

• x = 41

• x = 33

• x = 41/33

• x = 33/41

What happens when you multiply two negative numbers?

• The product is positive.

• The product is negative.

• The product is zero.

• The product is undefined.