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

Responses

−2 1/2

−10

−5/2

−2 4//8

1 answer

To multiply \(4\) by \(-\frac{5}{8}\), follow these steps:

  1. Convert \(4\) to a fraction: \(4 = \frac{4}{1}\).
  2. Multiply the fractions: \[ \frac{4}{1} \times -\frac{5}{8} = \frac{4 \times -5}{1 \times 8} = \frac{-20}{8} \]
  3. Simplify \(\frac{-20}{8}\):
    • Divide both the numerator and the denominator by their greatest common divisor, which is \(4\): \[ \frac{-20 \div 4}{8 \div 4} = \frac{-5}{2} \]
  4. Convert \(\frac{-5}{2}\) to a mixed number:
    • Since \(-5\) divided by \(2\) is \(-2\) with a remainder of \(1\), the mixed number form is: \[ -2 \frac{1}{2} \]

Thus, the answer as a mixed number in simplest form is \(-2 \frac{1}{2}\).

The correct response is: −2 1/2

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