Solving Equations with Fractions

This video tutorial covers solving one-step equations involving fractions. It begins with an introduction to the topic, followed by detailed examples demonstrating how to isolate the variable in equations such as X + 1/120 = 1/5, X - 2/3 = 3/4, 3/4X = 15/28, 6X = 4/15, and -4/9X = 14/15. The tutorial emphasizes the importance of using opposite operations and finding common denominators to simplify and solve these equations.

What is the first step in solving one-step equations with fractions?

• Multiply both sides by zero

• Divide by the largest number

• Add fractions to both sides

• Isolate the variable

Tags

CCSS.6.EE.B.7

In the equation X + 1/120 = 1/5, what operation is used to isolate X?

• Division

• Subtraction

• Multiplication

• Addition

Tags

CCSS.6.EE.B.7

What is the common denominator used to solve X - 2/3 = 3/4?

• 9

• 15

• 12

• 6

How is the improper fraction 17/12 converted to a mixed number?

• 1 5/12

• 1 4/12

• 2 5/12

• 2 1/12

Tags

CCSS.6.EE.B.7

What is the reciprocal of 3/4 used in solving 3/4X = 15/28?

• 4/3

• 3/4

• 1/3

• 1/4

Tags

CCSS.6.EE.B.7

What is the simplified form of the solution for 3/4X = 15/28?

• 5/3

• 5/7

• 3/5

• 7/5

Tags

CCSS.6.EE.B.7

What is the reciprocal of 6/1 used in solving 6X = 4/15?

• 6/1

• 4/1

• 1/6

• 1/4

Tags

CCSS.6.EE.B.7

What is the simplified solution for 6X = 4/15?

• 3/10

• 1/6

• 4/15

• 2/45

Tags

CCSS.6.EE.B.7

In the equation -4/9X = 14/15, what is the reciprocal used?

• 9/4

• -9/4

• 4/9

• -4/9

What is the mixed number form of -21/10?

• -1 1/10

• -2 1/10

• -1 2/10

• -2 2/10