Respuesta :

Answer:

The difference is [tex]\frac{7x-75}{84x}[/tex].

Step-by-step explanation:

In this question we have to subtract two fractions and simplify the difference.

So the fractions are [tex]\frac{x+9}{12x}and \frac{23}{14x}[/tex]

Now we simplify the subtraction of second from one.

[tex]\frac{x+9}{12x}-\frac{23}{14x}[/tex]

[tex]= \frac{7(x+9)-6\times 23}{84x}[/tex]

[tex]=\frac{7(x+9)-138}{84x}[/tex]

[tex]=\frac{7x+63-138}{84x}[/tex]

[tex]=\frac{7x-75}{84x}[/tex]

Therefore the simplified form of the difference is [tex]\frac{7x-75}{84x}[/tex]

Answer:

The difference is 7x-75/84x

Step-by-step explanation:

To find the difference of the function

X+9/12x-23/14x.

Step 1:

We will find the LCM of the denominator first

The LCM of 12x and 14x is 84x

Step 2:

We will take the difference

X+9/12x-23/14x

= {7(x+9)-6(23)}/84x

= 7x+63-138/84x

= 7x-75/84x

Therefore the difference is 7x-75/84x