Question

what is \\(\frac{15}{8} div \frac{3}{7}\\)? \\(\bigcirc\\) a. \\(\frac{5}{56}\\) \\(\bigcirc\\) b. \\(\frac{8}{35}\\) \\(\bigcirc\\) c. \\(\frac{45}{56}\\) \\(\bigcirc\\) d. \\(\frac{56}{45}\\) \\(\bigcirc\\) e. \\(\frac{35}{8}\\)

Explanation:

Step1: Rewrite division as multiplication

$\frac{15}{8} \div \frac{3}{7} = \frac{15}{8} \times \frac{7}{3}$

Step2: Simplify and multiply fractions

$\frac{15 \times 7}{8 \times 3} = \frac{5 \times 7}{8 \times 1} = \frac{35}{8}$

Answer:

E. $\frac{35}{8}$