Gr 10 Math Ch 1: Siplification of Fractions
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Questions and Answers

What is the result of multiplying the fractions \( rac{3}{4} imes rac{2}{5}\)?

  • \(\frac{6}{20}\) (correct)
  • \(\frac{5}{12}\)
  • \(\frac{3}{10}\)
  • \(\frac{1}{10}\)

What is the outcome of dividing (\frac{3}{7} \div \frac{2}{5})?

  • \(\frac{15}{14}\) (correct)
  • \(\frac{5}{14}\)
  • \(\frac{6}{7}\)
  • \(\frac{3}{10}\)

How would you simplify (\frac{4x^2}{8x}\)?

  • \(\frac{1}{2}x\\) (correct)
  • \(\frac{4}{8}\\)
  • \(\frac{1}{2}x^2\\)
  • \(\frac{2}{3}x^2\\)

What is the common denominator when adding (\frac{3}{5} + rac{1}{10}\)?

<p>10 (D)</p> Signup and view all the answers

What should be done first when simplifying the complex fraction (\frac{6x}{4y} \div \frac{3y}{2x}\)?

<p>Rewrite as multiplication by the reciprocal. (A)</p> Signup and view all the answers

When simplifying the fraction (\frac{x^2 - 1}{x + 1}\), what should be done first?

<p>Factor the numerator. (C)</p> Signup and view all the answers

What is the first step in simplifying an algebraic fraction?

<p>Factorise the numerator and the denominator (B)</p> Signup and view all the answers

When simplifying the expression \( \frac{4x^2}{8x} \), what is the correct approach?

<p>Divide both terms by 2 and then cancel x (A)</p> Signup and view all the answers

What does rewriting a division as multiplication by the reciprocal accomplish?

<p>It allows for easier simplification (B)</p> Signup and view all the answers

Which of the following is NOT a step in simplifying complex fractions?

<p>Rewrite addition as multiplication (A)</p> Signup and view all the answers

In the expression \( \frac{a}{b} + \frac{c}{b} \, what is the resulting simplification?

<p>\( \frac{a + c}{b} \) (B)</p> Signup and view all the answers

What is a necessary condition for dividing the fractions \( \frac{a}{b} \) and \( \frac{c}{d} \)?

<p>At least one denominator must be non-zero (C)</p> Signup and view all the answers

What is the result of dividing the fractions ( \frac{2x}{3y} \div \frac{4y}{5x} )?

<p>(\frac{5x^2}{6y^2}) (C)</p> Signup and view all the answers

When simplifying the expression ( \frac{2x^2 - 8}{4x} ), what should be done first?

<p>Factor out 2 from the numerator (A)</p> Signup and view all the answers

What is the correct first step in simplifying the complex fraction ( \frac{5x}{3} \div \frac{2}{x+1} )?

<p>Rewrite the division as multiplication (C)</p> Signup and view all the answers

Which of the following represents the simplification of the expression ( \frac{x^2 - 9}{x^2 + 3x} )?

<p>(\frac{(x - 3)(x + 3)}{x(x + 3)}) (C)</p> Signup and view all the answers

What outcome occurs when ( \frac{3}{4} + \frac{5}{4} ) is simplified?

<p>(\frac{8}{4}) (C)</p> Signup and view all the answers

Which technique is used to simplify the fraction ( \frac{6x^3y^2}{15xy} )?

<p>Cancel common variables and coefficients (B)</p> Signup and view all the answers

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