How do you solve d/5=80/100?

Apr 27, 2017

$d = 4$

Explanation:

Now multiply 5 by 80 (this will be equal to 100*d)

Your equation (when you do the multiplication):

$100 d = 5 \cdot 80$

$d = \frac{400}{100}$

$d = 4$

$d = 4$

Apr 27, 2017

$d = 4$

Explanation:

$\text{Note the right side of the equation can be simplified}$

$\textcolor{b l u e}{\text{ dividing numerator/denominator by 20}}$

$\Rightarrow \frac{80}{100} = {\cancel{80}}^{4} / {\cancel{100}}^{5} = \frac{4}{5} \leftarrow \textcolor{red}{\text{ in simplest form}}$

$\Rightarrow \frac{d}{5} = \frac{4}{5}$

$\text{since the denominators are equal, both 5 }$

$\Rightarrow d = 4$