# How do you use cross products to solve 2/9=c/27?

Apr 16, 2018

Just arrange the equation

#### Explanation:

$\frac{2}{9} = \frac{c}{27}$

$2 \times 27 = c \times 9$

$\frac{2 \times 27}{9} = c$

$2 \times 3 = c$

$6 = c$

Apr 16, 2018

c = 6

#### Explanation:

First we need to cross multiply.
$2 \times 27 = 9 \times c$

Which gives us...
$54 = 9 c$

To make the next step easy, we will flip the equation
$9 c = 54$

Now we can find the value of c
$c = \frac{54}{9}$

$c = 6$

Apr 16, 2018

$c = 6$

#### Explanation:

$\text{given equal fractions then we can solve using "color(blue)"cross-products}$

$\text{that is "a/b=c/drArrbc=adlarrcolor(blue)"cross-products}$

$\text{applying this to "2/9=c/27" gives}$

$9 c = 2 \times 27$

$\Rightarrow 9 c = 54$

$\text{divide both sides by 9}$

$\frac{\cancel{9} c}{\cancel{9}} = \frac{54}{9}$

$\Rightarrow c = 6$