Question

1. the expression \frac{\frac{1}{2} + \frac{1}{3}}{\frac{1}{2} - \frac{1}{3}} is equivalent to

(a) \frac{1}{6}
(b) 1
(c) \frac{5}{6}
(d) 5

Explanation:

Simplify the numerator

Using the Fraction Addition knowledge point

$$ \frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6} $$

Simplify the denominator

Using the Fractional Subtraction knowledge point

$$ \frac{1}{2} - \frac{1}{3} = \frac{3}{6} - \frac{2}{6} = \frac{1}{6} $$

Divide the numerator by the denominator

Using the Fraction Division knowledge point

$$ \frac{\frac{5}{6}}{\frac{1}{6}} = \frac{5}{6} \times \frac{6}{1} = 5 $$

Answer:

• (A) \(\frac{1}{6}\)
• (B) 1
• (C) \(\frac{5}{6}\)
• (D) 5 (Correct answer)