Question

simplify:

\\\frac{1}{4} - \frac{5}{7} \cdot \frac{3}{10}\\

Explanation:

Perform multiplication first

$$ \frac{5}{7} \cdot \frac{3}{10} = \frac{5 \cdot 3}{7 \cdot 10} = \frac{15}{70} = \frac{3}{14} $$

Subtract the fractions

$$ \frac{1}{4} - \frac{3}{14} = \frac{1 \cdot 7}{4 \cdot 7} - \frac{3 \cdot 2}{14 \cdot 2} = \frac{7}{28} - \frac{6}{28} = \frac{1}{28} $$

Answer:

\(\frac{1}{28}\)