Solving Equations with Fractions

This video tutorial explains how to solve equations that include fractions. It covers two example equations, demonstrating the process of simplifying and combining like terms, finding common denominators, and isolating the variable. The tutorial emphasizes the use of reciprocals for division by fractions and provides step-by-step guidance for each equation, ensuring a clear understanding of the methods involved.

What is the optional step mentioned for solving equations with fractions?

• Clearing the fractions by multiplying by the least common denominator

• Dividing by the greatest common factor

• Adding fractions to both sides

• Subtracting fractions from both sides

What is the least common denominator of 6 and 12?

• 6

• 12

• 24

• 18

How do you simplify the fraction -3/12?

• -1/6

• -1/4

• -1/3

• -1/2

What operation is equivalent to dividing by a fraction?

• Multiplying by the reciprocal

• Subtracting the fraction

• Dividing by the reciprocal

• Adding the fraction

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

• Multiply both sides by 2

• Add 7/9 x to both sides

• Subtract 1/2 x from both sides

• Divide both sides by 3

What is the least common denominator of 2 and 9?

• 9

• 12

• 18

• 24

How do you express 1/2 as a fraction with a denominator of 18?

• 6/18

• 9/18

• 8/18

• 7/18

What is the result of combining 9/18 x and 14/18 x?

• 23/18 x

• 22/18 x

• 21/18 x

• 24/18 x

What is the reciprocal of 23/18?

• 18/23

• 23/18

• 18/9

• 9/18

What is the final solution for x in the second equation?

• x = 54/18

• x = 54/9

• x = 54/20

• x = 54/23