Explained: "Explain the difference in the process to clear..."

meplasemamiuk

Answered question

2021-11-12

Explain the difference in the process to clear fractions between the two equations.

\frac{x}{3} + \frac{1}{2} = 1 and \frac{3}{x} + \frac{1}{2} = 1

Answer & Explanation

Ceitheart

Beginner2021-11-13Added 14 answers

Step 1
To clear the fractions we need to take the GCF of the denominators
For the first expression GCF of the denominators, 3 and 2 is 6
So We have to multiply the first equation by 6.

\frac{x}{3} + \frac{1}{2} = 1

6 (\frac{x}{3} + \frac{1}{2}) = 6 (1)

6 (\frac{x}{3}) + 6 (\frac{1}{2}) = 6

2 x + 3 = 6

Step 2
For the second expression GCF of the denominators, x and 2 is 2x.
So We have to multiply the second equation by 2x

\frac{3}{x} + \frac{1}{2} = 1

2 x (\frac{3}{x} + \frac{1}{2}) = 2 x (1)

2 x (\frac{3}{x}) + 2 x (\frac{1}{2}) = 2 x

6 x + x = 2 x

Answer: We multiply the first one by 6 and the second one by 2x. This is the difference.

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