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

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

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

−10

1 answer

To multiply \( 4 \) by \( -\frac{5}{8} \), you can first convert \( 4 \) to a fraction:

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

Now, multiply the two fractions:

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

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

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

To convert \(-\frac{5}{2}\) to a mixed number, divide the numerator by the denominator:

\(-5 \div 2 = -2\) with a remainder of \(1\).

So, as a mixed number, \(-\frac{5}{2}\) can be written as:

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

Therefore, the answer in simplest form is:

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

So, the correct response is:

−2 1/2