Question
Question 5 Divide: −3/4÷(−4/5) (1 point) Responses 12/20 -15/16 -12/20 15/16
Answers
GPT-4o mini
To divide fractions, you can multiply by the reciprocal of the divisor.
So, for the expression \(-\frac{3}{4} \div \left(-\frac{4}{5}\right)\), it can be rewritten as:
\[
-\frac{3}{4} \times -\frac{5}{4}
\]
Now, multiply the numerators and the denominators:
\[
=\frac{(-3) \times (-5)}{4 \times 4} = \frac{15}{16}
\]
So the answer is:
**15/16**
So, for the expression \(-\frac{3}{4} \div \left(-\frac{4}{5}\right)\), it can be rewritten as:
\[
-\frac{3}{4} \times -\frac{5}{4}
\]
Now, multiply the numerators and the denominators:
\[
=\frac{(-3) \times (-5)}{4 \times 4} = \frac{15}{16}
\]
So the answer is:
**15/16**