1. ## factoring

14 + .80x =46
14 -14 +.80x =46 -14
.80x= 32
.80 80 or.80x/.80 32/.80 the answer is 40, but how exactly does .80x/.80 32/.80 = 40 meaning the mechanics of
I know x equals 40, but what i want to know is how to single out the x to the left to get 40

2. Originally Posted by Leona_Marie
14 + .80x =46
14 -14 +.80x =46 -14
.80x= 32
.80 80 or.80x/.80 32/.80 the answer is 40, but how exactly does .80x/.80 33/.80 = 40 meaning the mechanics of
$\displaystyle 0.80x = 32$

$\displaystyle x = \frac {32}{0.8} = \frac {32} {\frac{4}{5}} = \frac {32 \cdot 5}{4} = 40$

3. Originally Posted by metlx
$\displaystyle 0.80x = 32$

$\displaystyle x = \frac {32}{0.8} = \frac {32} {\frac{4}{5}} = \frac {32 \cdot 5}{4} = 40$
I understood all the way to the 32/4/5 whats 32.5/ where did yuou get .5and how did you end up with jus 4 as denominator. and how do you turn 32.5/4 into 40 ?

4. there is a rule for it.

$\displaystyle \frac {x}{\frac{y}{z}} = \frac { x\cdot z}{y}$

or more common example
$\displaystyle \frac{100}{\frac{20}{2}} = \frac {100}{10} = 10 = \frac{100 \cdot 2}{20}$

OR
$\displaystyle \frac{4}{2}=\frac{\frac{4}{1}}{\frac{2}{1}} = \frac {4\cdot1}{2\cdot1}$

5. Originally Posted by metlx
there is a rule for it.

$\displaystyle \frac {x}{\frac{y}{z}} = \frac { x\cdot z}{y}$

or more common example
$\displaystyle \frac{100}{\frac{20}{2}} = \frac {100}{10} = 10 = \frac{100 \cdot 2}{20}$

OR
$\displaystyle \frac{4}{2}=\frac{\frac{4}{1}}{\frac{2}{1}} = \frac {4\cdot1}{2\cdot1}$
Ive never heard of it but thank you just the same leona

6. Originally Posted by metlx
$\displaystyle 0.80x = 32$

$\displaystyle x = \frac {32}{0.8} = \frac {32} {\frac{4}{5}} = \frac {32 \cdot 5}{4} = 40$

When you have a fraction in the denominator of a fraction:

$\displaystyle \frac{32}{\frac{4}{5}}$

you can multiply the top of the fraction by the reciprocal of the bottom fraction:

Think of 32 being the same thing as $\displaystyle \frac{32}{1}$

So,

$\displaystyle \frac{\frac{32}{1}}{\frac{4}{5}}$

= $\displaystyle \frac{32}{1}\cdot\frac{5}{4}$

Then just multiply across each fraction:

$\displaystyle \frac{160}{4} = 40$

7. Originally Posted by mollymcf2009
When you have a fraction in the denominator of a fraction:

$\displaystyle \frac{32}{\frac{4}{5}}$

you can multiply the top of the fraction by the reciprocal of the bottom fraction:

Think of 32 being the same thing as $\displaystyle \frac{32}{1}$

So,

$\displaystyle \frac{\frac{32}{1}}{\frac{4}{5}}$

= $\displaystyle \frac{32}{1}\cdot\frac{5}{4}$

Then just multiply across each fraction:

$\displaystyle \frac{160}{4} = 40$
thank you molly this makes sense