Multiply 4 by −5/8 . Write the answer as a mixed number in simplest form.(1 point)

Responses

−10
negative 10

−2 1/2
negative 2 Start Fraction 1 over 2 End Fraction

−5/2
negative Start Fraction 5 over 2 End Fraction

−2 4/8

1 answer

To multiply \( 4 \) by \( -\frac{5}{8} \), we first convert \( 4 \) into a fraction:

\[ 4 = \frac{4}{1} \]

Now, we multiply the two fractions:

\[ \frac{4}{1} \times -\frac{5}{8} = -\frac{4 \times 5}{1 \times 8} = -\frac{20}{8} \]

Next, we simplify \(-\frac{20}{8}\):

\[ -\frac{20}{8} = -\frac{5}{2} \]

Now, we convert \(-\frac{5}{2}\) to a mixed number:

\(-\frac{5}{2}\) is equivalent to \(-2 \frac{1}{2}\) because \(5\) divided by \(2\) gives \(2\) with a remainder of \(1\).

Thus, the final answer is:

\(-2 \frac{1}{2}\)

So the correct response is:

−2 1/2 (negative 2 Start Fraction 1 over 2 End Fraction)