How do you simplify 0.3 div 129?

Mar 19, 2018

See a solution process below:

Explanation:

We can rewrite the expression as:

$\frac{3}{1} \div \frac{129}{1} \implies \frac{\frac{3}{10}}{\frac{129}{1}}$

Now, we can use this rule for dividing fractions to evaluate the expression:

$\frac{\frac{\textcolor{red}{a}}{\textcolor{b l u e}{b}}}{\frac{\textcolor{g r e e n}{c}}{\textcolor{p u r p \le}{d}}} = \frac{\textcolor{red}{a} \times \textcolor{p u r p \le}{d}}{\textcolor{b l u e}{b} \times \textcolor{g r e e n}{c}}$

$\frac{\frac{\textcolor{red}{3}}{\textcolor{b l u e}{10}}}{\frac{\textcolor{g r e e n}{129}}{\textcolor{p u r p \le}{1}}} \implies$

$\frac{\textcolor{red}{3} \times \textcolor{p u r p \le}{1}}{\textcolor{b l u e}{10} \times \textcolor{g r e e n}{129}} \implies$

$\frac{\cancel{\textcolor{red}{3}} \textcolor{red}{1} \times \textcolor{p u r p \le}{1}}{\textcolor{b l u e}{10} \times \cancel{\textcolor{g r e e n}{129}} \textcolor{g r e e n}{43}} \implies$

$\frac{1}{430}$