-3/4 divided by 3/8

1 answer

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.

So, for \(-\frac{3}{4}\) divided by \(\frac{3}{8}\):

\[ -\frac{3}{4} \div \frac{3}{8} = -\frac{3}{4} \times \frac{8}{3} \]

Now, multiply the numerators and the denominators:

\[ -\frac{3 \times 8}{4 \times 3} = -\frac{24}{12} \]

Now simplify \(-\frac{24}{12}\):

\[ -\frac{24}{12} = -2 \]

Thus, \(-\frac{3}{4} \div \frac{3}{8} = -2\).

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