Question

Find the value and express as the rational number standard form:
1) (2/5) ÷ (26/15)
2) (10/3) ÷ (-34/12)

Answer 1

Step-by-step explanation:

1) Answer;

$\frac{2}{5} \div \frac{26}{15} \\ \\ \frac{2}{5} \times \frac{15}{26} \\ \\ \frac{2}{1} \times \frac{3}{26} \\ \\ \frac{1}{1} \times \frac{3}{13} = \frac{3}{13}$

2) Answer;

$\frac{10}{3} \div ( - \frac{34}{12} ) \\ \\ \frac{10}{3} \times ( - \frac{12}{34} ) \\ \\ \frac{10}{3} \times ( - \frac{6}{17} ) \\ \\ \frac{10}{1} \times ( - \frac{2}{17} ) \\ \\ = - \frac{2 \times 10}{1 \times 17} \\ \\ = - \frac{20}{17}$