Question

Divide −4/9
by 4/7
.(1 point)
Responses

−79
negative 7 ninths

79
7 ninths

−97
negative 9 sevenths

−1663

Answer 1

To divide \(-\frac{4}{9}\) by \(\frac{4}{7}\), you can multiply by the reciprocal of the second fraction.

The calculation is as follows:

\[
-\frac{4}{9} \div \frac{4}{7} = -\frac{4}{9} \times \frac{7}{4}
\]

Now, when you multiply:

1. Multiply the numerators: \(-4 \times 7 = -28\)
2. Multiply the denominators: \(9 \times 4 = 36\)

So, we have:

\[
-\frac{28}{36}
\]

Now, simplify this fraction by finding the greatest common divisor (GCD) of 28 and 36, which is 4:

\[
-\frac{28 \div 4}{36 \div 4} = -\frac{7}{9}
\]

Therefore, the answer is:

**Negative 7 ninths.**