complicated fractions

**jerryramos** · October 31st 2006, 07:27 AM

1/8+2
2

(1/8+25/16) (1/8-25/16)

3(1/8)-3(2)
3(2) - 3(1/8)

4+5(25/16
2

**topsquark** · October 31st 2006, 12:10 PM

Originally Posted by jerryramos

1/8+2
2

I just love these, don't you?

$\frac{ \frac{1}{8} + 2}{2}$ Mulitply the top and bottom by 8:

$\frac{ \frac{1}{8} + 2}{2} \cdot \frac{8}{8} = \frac{1 + 2 \cdot 8}{2 \cdot 8}$ = $\frac{17}{16}$

Originally Posted by jerryramos

(1/8+25/16) (1/8-25/16)

$\frac{ \frac{1}{8} + \frac{25}{16} }{ \frac{1}{8} - \frac{25}{16} }$ Mulitply top and bottom by 16:

$\frac{ \frac{1}{8} + \frac{25}{16} }{ \frac{1}{8} - \frac{25}{16} } \cdot \frac{16}{16}$ = $\frac{1 \cdot 2 + 25}{1 \cdot 2 - 25} = \frac{27}{-23} = - \frac{27}{23}$

That's the method. I'll let you fuss with the last two.

-Dan

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