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

Responses

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

−2 4/8
negative 2 Start Fraction 4 over 8 End Fraction

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

−10
negative 10

1 answer

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

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

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

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

This is already in simplest form. Since \(-\frac{5}{2}\) is an improper fraction, we can convert it to a mixed number:

\[ -\frac{5}{2} = -2 \frac{1}{2} \]

So the final answer is:

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

Thus, the correct response is:

−2 1/2