What is the quotient when you divide −3/4 by 3/8?(1 point)

Question

Responses

−359
negative 3 Start Fraction 5 over 9 End Fraction

−932
negative Start Fraction 9 over 32 End Fraction

−2
negative 2

2

Answer 1

To divide \(-\frac{3}{4}\) by \(\frac{3}{8}\), you can multiply by the reciprocal of the divisor:

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

Now, multiply the fractions:

1. Multiply the numerators: \(-3 \times 8 = -24\)
2. Multiply the denominators: \(4 \times 3 = 12\)

This gives us:

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

Now simplify the fraction:

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

So, the quotient when you divide \(-\frac{3}{4}\) by \(\frac{3}{8}\) is \(-2\).

The correct response is:

−2