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

Responses

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

−10
negative 10

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

−2 4/8

1 answer

To multiply \(4\) by \(-\frac{5}{8}\):

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

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

\[ -\frac{20}{8} = -\frac{10}{4} = -\frac{5}{2} \]

To express \(-\frac{5}{2}\) as a mixed number, you divide \(5\) by \(2\):

\(-2\) with a remainder of \(1\):

So, \(-\frac{5}{2}\) can be written as the mixed number \(-2 \frac{1}{2}\).

Thus, the answer in simplest form is:

\(-2 \frac{1}{2}\) or negative 2 Start Fraction 1 over 2 End Fraction

So, the correct response is:

−2 1/2