19. What is $$ 3 / 8 $$ divided by $$ 5 / 12 $$ $$ 9 / 10 $$ $$ 2 / 5 $$ $$ 10 / 9 $$ $$ 5 / 2 $$

Question

UpStudy AI · Accepted Answer

Given the expression:

$$
\frac{3}{8} \div \frac{5}{12}
$$

1. Write the division as multiplication by the reciprocal:

$$
\frac{3}{8} \times \frac{12}{5}
$$

2. Multiply the numerators and the denominators:

$$
\frac{3 \times 12}{8 \times 5} = \frac{36}{40}
$$

3. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, 4:

$$
\frac{36 \div 4}{40 \div 4} = \frac{9}{10}
$$

The result is:

$$
\frac{9}{10}
$$
The answer is $$ \frac{9}{10} $$.

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