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

Question

Responses

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

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

−10
negative 10

−2 1/2

Answer 1

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

1. First, multiply the whole number (4) by the numerator of the fraction (-5): \[ 4 \times -5 = -20 \]

2. Then, keep the denominator (8) the same: \[ \frac{-20}{8} \]

3. Now simplify \(\frac{-20}{8}\): \[ \frac{-20 \div 4}{8 \div 4} = \frac{-5}{2} \]

4. To convert \(-\frac{5}{2}\) to a mixed number, note that \(-\frac{5}{2}\) can be expressed as \(-2 \frac{1}{2}\) since \(-5\) divided by \(2\) is \(-2\) with a remainder of \(-1\).

Thus, the final answer as a mixed number in simplest form is: \[ \text{−2 } \frac{1}{2} \]

So the correct response is: \(-2 \frac{1}{2}\)