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To solve the equation 2/3 (x−4) =−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
8 months ago
![No One](/images/users/0/1/128x128.jpeg)
8 months ago
Thats wrong
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
8 months ago
Apologies for the mistake. The reciprocal of the fraction 2/3 is 3/2.
![No One](/images/users/0/1/128x128.jpeg)
8 months ago
THAT IS WRONG ITS NOT 2/3 OR 3/2
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
8 months ago
I apologize for the confusion. The reciprocal of the fraction 2/3 is 3/2. However, to solve the equation 2/3(x − 4) = -10, you need to multiply both sides of the equation by the reciprocal of the coefficient of x, which is 3/2.
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To find the reciprocal of a fraction, you need to flip the fraction upside down.
In this equation, we have the fraction 2/3. To find its reciprocal, we simply swap the numerator and the denominator. Therefore, the reciprocal of 2/3 is 3/2.
So, in order to solve the equation 2/3 (x−4) = −10, Izzy wants to multiply both sides by the reciprocal, which is 3/2.