Question

which set of fractions could you use to subtract \\(\frac{7}{18} - \frac{1}{6}\\)?

\\(\bigcirc \frac{7}{18} - \frac{1}{18}\\)
\\(\bigcirc \frac{2}{6} - \frac{1}{6}\\)
\\(\bigcirc \frac{7}{18} - \frac{3}{18}\\)
\\(\bigcirc \frac{4}{6} - \frac{1}{6}\\)

Explanation:

Find a common denominator

$$ \text{LCM}(18, 6) = 18 $$

Convert to equivalent fractions

$$ \frac{1}{6} = \frac{1 \times 3}{6 \times 3} = \frac{3}{18} $$

Rewrite the subtraction expression

$$ \frac{7}{18} - \frac{1}{6} = \frac{7}{18} - \frac{3}{18} $$

Answer:

• (A) \(\frac{7}{18} - \frac{1}{18}\)
• (B) \(\frac{2}{6} - \frac{1}{6}\)
• (C) \(\frac{7}{18} - \frac{3}{18}\) (Correct answer)
• (D) \(\frac{4}{6} - \frac{1}{6}\)