Divide −5/10 by 3/4

(1 point)
Responses

2/3
2 thirds

−2/3
negative 2 thirds

−3/8
negative 3 eighths

−2

2 answers

To divide \(-\frac{5}{10}\) by \(\frac{3}{4}\), you can multiply \(-\frac{5}{10}\) by the reciprocal of \(\frac{3}{4}\).

  1. First, simplify \(-\frac{5}{10}\): \[ -\frac{5}{10} = -\frac{1}{2} \]

  2. Now multiply by the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\): \[ -\frac{1}{2} \times \frac{4}{3} = -\frac{1 \cdot 4}{2 \cdot 3} = -\frac{4}{6} \]

  3. Simplify \(-\frac{4}{6}\): \[ -\frac{4}{6} = -\frac{2}{3} \]

So, the result of dividing \(-\frac{5}{10}\) by \(\frac{3}{4}\) is \(-\frac{2}{3}\).

The correct answer is \(-2/3\) (negative 2 thirds).

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Hello,
Man they don't understand me from what I know
I must be from another planet, feeling like a freak show
Thats why I disconnect go incognito
I need to breath cuz im going crazy
They gon miss me when I'm gone baby