# How do I simplify this?

1. Feb 13, 2005

### DLxX

$$\frac {x+2} {x-1} \frac \frac {4x+1} {x-1}$$

Would using the bowtie method work? Cross multiply and then subtract the two answers found from each other, and put that result over the multiplaction of the two denominators. ?

EDIT: I messed up the Latex thing. THe 4x-1 and the x-1 are supposed to be a fraction under the x+2/x-1

2. Feb 14, 2005

### HallsofIvy

Staff Emeritus
So you mean

$$\frac{\frac{x+2}{x-1}}\frac{4x+1}{x-1}}$$
?

You learned how to divide fractions in the fourth grade: invert the denominator and multiply. This is:
$$\frac{x+2}{x-1}*\frac{x-1}{4x+1}$$

Can you reduce that?

3. Feb 15, 2005

### Jameson

Agreed. Dividing is the same as multiplying by the reciprocal. So when you do this the $$x - 1$$'s cancel out.