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To simplify the following fraction:

Mathematics

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Answer

3\text{3}

Step-by-step solution

3 steps

I will solve question 3, part a).

The question asks to simplify the following fraction:

3x+6yx+2y\frac{3x + 6y}{x + 2y}
  1. Factor out the common term from the numerator.

    The terms in the numerator are 3x3x and 6y6y. The common factor is 3.

    3x+6y=3(x+2y)3x + 6y = 3(x + 2y)
  2. Substitute the factored numerator back into the fraction.

    3(x+2y)x+2y\frac{3(x + 2y)}{x + 2y}
  3. Cancel out the common term in the numerator and the denominator.

    The term (x+2y)(x + 2y) appears in both the numerator and the denominator.

    3(x+2y)x+2y=3\frac{3\cancel{(x + 2y)}}{\cancel{x + 2y}} = 3

    The simplified fraction is 3.

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