How do you evalaute \frac { 3} { 5} \div \frac { 12} { 5} \cdot - 4?

Oct 4, 2017

$\frac{3}{5}$ $\div$ $\frac{12}{5}$ $\cdot - 4 = - 1$

Explanation:

When dividing two fractions, you can flip the second fraction around and thus change the division to a multiplication. You can then simplify the expression by cancelling out numbers.

$\frac{3}{5}$ $\div$ $\frac{12}{5}$ $\cdot - 4$

$= \frac{3}{\cancel{5}} \cdot \frac{\cancel{5}}{12} \cdot - 4$

$= 3 \cdot \frac{1}{12} \cdot - 4$

$= - \cancel{12} \cdot \frac{1}{\cancel{12}}$

$= - 1$

Oct 4, 2017

$- 1$

Explanation:

$= \left(\left(\frac{3}{\cancel{5}}\right) \left(\frac{\cancel{5}}{12}\right)\right) \cdot \left(- 4\right)$

$= \left(\frac{3}{12}\right) \cdot \left(- 4\right)$

$= \left(\frac{1}{\cancel{4}}\right) \cdot \left(- \cancel{4}\right) = - 1$