Solve for x in the denominator of the fraction

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The discussion focuses on solving the equation $$\frac{7}{x}=14$$ to find the value of x in the denominator. The correct steps involve dividing both sides by 7, resulting in $$\frac{1}{x}=2$$, and then inverting both sides to conclude that $$x=\frac{1}{2}$$. The method of cross-multiplication is mentioned but is not applicable in this context, as the equation involves a simple division rather than addition. The solution is confirmed as correct by multiple participants.

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In this I think you should cross multiply ; I got 1/2 by doing so and I am not sure whether it is correct.Can you help me to solve this and be kind enough to explain your steps a little. :)
 

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Combine terms on the left:

$$\frac{7}{x}=14$$

Divide through by 7:

$$\frac{1}{x}=2$$

Invert both sides:

$$x=\frac{1}{2}$$ :)
 
Many Thanks. :)
 
mathlearn said:
In this I think you should cross multiply ; I got 1/2 by doing so and I am not sure whether it is correct.Can you help me to solve this and be kind enough to explain your steps a little. :)

We cross-multiply when we replace the division symbol with multiplication symbol.

In this case we have addition, where we make denominators equal (and do not cross-multiply).

Main help is already provided by MarkFL.
 
Many Thanks (Smile)
 

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