Question
Evaluate the expression `\frac{9mn}{-2p}` when `m\ =\ \frac{1}{3},` `n\ =-2,`and ``
Answers
Answered by
GPT 3.5
To evaluate the expression `\frac{9mn}{-2p}` when `m\ =\ \frac{1}{3},` `n\ =-2,` and `p\ =\ -5`, we substitute the given values into the expression.
Substituting `m\ =\ \frac{1}{3},` `n\ =-2,` and `p\ =\ -5` into the expression `\frac{9mn}{-2p}`, we have:
`\frac{9(\frac{1}{3})(-2)}{-2(-5)}`
Simplifying the expression inside the numerator, we have `\frac{9 \cdot 1 \cdot -2}{-2(-5)}`:
`\frac{-18}{-2(-5)}`
Simplifying the expression inside the denominator, we have `\frac{-18}{10}`:
`-\frac{18}{10}`
We can further simplify this fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2:
`-\frac{9}{5}`
Therefore, the value of the expression `\frac{9mn}{-2p}` when `m\ =\ \frac{1}{3},` `n\ =-2,` and `p\ =\ -5` is `-\frac{9}{5}`.
Substituting `m\ =\ \frac{1}{3},` `n\ =-2,` and `p\ =\ -5` into the expression `\frac{9mn}{-2p}`, we have:
`\frac{9(\frac{1}{3})(-2)}{-2(-5)}`
Simplifying the expression inside the numerator, we have `\frac{9 \cdot 1 \cdot -2}{-2(-5)}`:
`\frac{-18}{-2(-5)}`
Simplifying the expression inside the denominator, we have `\frac{-18}{10}`:
`-\frac{18}{10}`
We can further simplify this fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2:
`-\frac{9}{5}`
Therefore, the value of the expression `\frac{9mn}{-2p}` when `m\ =\ \frac{1}{3},` `n\ =-2,` and `p\ =\ -5` is `-\frac{9}{5}`.