Solving Equations with Fractions

The video tutorial explains how to solve an equation by distributing negative four, isolating variable terms, and solving for x. It covers converting mixed numbers to improper fractions and vice versa, ensuring a clear understanding of each step involved in the process.

What is the first step in solving the given equation?

• Multiply both sides by two

• Distribute negative four to clear parentheses

• Add fractions on both sides

• Convert mixed numbers to improper fractions

What is the result of distributing negative four to three-fourths x?

• Negative four x

• Positive four x

• Positive three x

• Negative three x

How do you isolate the variable terms on one side of the equation?

• By dividing both sides by the same number

• By multiplying both sides by the same number

• By converting fractions to decimals

• By adding or subtracting terms on both sides

What is the least common denominator when adding two-thirds and three?

• Three

• Four

• Five

• Two

What is the sum of two-thirds and three as an improper fraction?

• 11/3

• 10/3

• 8/3

• 9/3

What is the improper fraction form of eight and a half?

• 18/2

• 16/2

• 17/2

• 15/2

What is the reciprocal of 11/3?

• 3/11

• 11/3

• 1/11

• 1/3

What is the solution to the equation as an improper fraction?

• 17/44

• 22/51

• 44/17

• 51/22

How many 22s are there in 51 when converting to a mixed number?

• Two

• Three

• One

• Four

What is the mixed number form of 51/22?

• 2 and 5/22

• 2 and 11/22

• 2 and 7/22

• 2 and 9/22