Solving Equations with Fractions

The video tutorial explains how to solve equations with fractions by eliminating fractions through multiplication. It covers four examples, demonstrating techniques like using the lowest common denominator and cross multiplication. The video emphasizes keeping equations balanced and checking solutions.

What is the first step in solving equations with fractions?

• Divide the equation by the numerators

• Subtract the fractions

• Multiply the whole equation by the denominators

• Add the fractions

When multiplying a whole number by a fraction, what should you multiply?

• Only the whole number by itself

• Both numerator and denominator by the whole number

• The numerator by the whole number

• The denominator by the whole number

In the first example, what is the value of x when x/2 = (x+5)/3?

• 5

• 10

• 15

• 20

What is the shortcut for multiplying by each denominator separately?

• Multiply by the sum of the denominators

• Multiply by the highest common factor

• Multiply by the product of the denominators

• Multiply by the lowest common denominator

In the second example, what is the result of multiplying both sides by 40?

• 8 times (2x - 1) and 5 times (3x - 4)

• 5 times (2x - 1) and 8 times (3x - 4)

• 40 times (2x - 1) and 40 times (3x - 4)

• 10 times (2x - 1) and 10 times (3x - 4)

What is the value of x in the equation 2x - 1/5 = 3x - 4/8?

• 5

• 12

• -5

• -12

What is the lowest common denominator of 4 and 6?

• 24

• 8

• 10

• 12

In the third example, what is the result of cross multiplication?

• 5 times (w + 7) = 15 times (w + 5)

• 15 times (w + 7) = 5 times (w + 5)

• 10 times (w + 7) = 20 times (w + 5)

• 20 times (w + 7) = 10 times (w + 5)

What is the final value of w in the equation with cross multiplication?

• 4

• 5

• -4

• -5

What is the purpose of using cross multiplication in solving equations with fractions?

• To simplify the equation by eliminating fractions

• To multiply the fractions

• To divide the fractions

• To add the fractions