10. $$ \frac{2}{3} * \frac{3}{4} \div \frac{5}{8}= $$

Question

UpStudy AI · Accepted Answer

1. First, compute the multiplication:
   
   $$
   \frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2}.
   $$

2. Next, perform the division by multiplying with the reciprocal:

$$
   \frac{1}{2} \div \frac{5}{8} = \frac{1}{2} \times \frac{8}{5} = \frac{1 \times 8}{2 \times 5} = \frac{8}{10} = \frac{4}{5}.
   $$

Thus, the final answer is:

$$
\frac{4}{5}.
$$
The final answer is $$ \frac{4}{5} $$.

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