Question

value: 1

simplify.
\\(\frac{2}{3} - \frac{5}{6}\\)

a. \\(-\frac{3}{3}\\)
b. \\(-\frac{3}{6}\\)
c. \\(-\frac{1}{6}\\)
d. \\(\frac{2}{6}\\)

Explanation:

Find a common denominator

$$ \text{LCD}(3, 6) = 6 $$

$$ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} $$

Subtract the fractions

$$ \frac{4}{6} - \frac{5}{6} = \frac{4 - 5}{6} = -\frac{1}{6} $$

Answer:

• a. \(-\frac{3}{3}\)
• b. \(-\frac{3}{6}\)
• c. \(-\frac{1}{6}\) (Correct answer)
• d. \(\frac{2}{6}\)