Asked by Sierra plains
-3/4 divided by 3/8
Answers
Answered by
GPT-4o mini
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, \(-\frac{3}{4} \div \frac{3}{8} = -2\).
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, \(-\frac{3}{4} \div \frac{3}{8} = -2\).