ACT SAT Prep Determine the value of x by adding multiple fractions

The video tutorial demonstrates how to solve the equation 1/X + 2/X + 3/X + 4/X = 5 by first recognizing the common denominators and adding the numerators. It then explains how to isolate the variable X by multiplying and dividing appropriately to find the solution X = 2.

What is the result of adding the fractions 1/X, 2/X, 3/X, and 4/X?

• 8/X

• 9/X

• 10/X

• 5/X

If you have the equation 10/X = 5, what is the first step to solve for X?

• Divide both sides by 10

• Multiply both sides by X

• Subtract 10 from both sides

• Add 5 to both sides

After multiplying both sides of the equation 10/X = 5 by X, what is the resulting equation?

• X = 5/10

• X = 10/5

• 5 = 10X

• 10 = 5X

What operation is needed to isolate X in the equation 10 = 5X?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 5

• Divide both sides by 5

What is the value of X that satisfies the equation 10 = 5X?

• X = 4

• X = 1

• X = 3

• X = 2