Question

To solve $\frac{2}{5}x=14$, you multiply both sides of the equation by $\frac{5}{2}$. Your friend divides both sides of the equation by $\frac{2}{5}$. Who is correct? Explain?

Answer 1

Both solutions are correct because dividing with fraction leads to multiplying with its reciprocal.

Reciprocal of $\frac{2}{5}$ is $\frac{2}{5}$

Therefore, Both persons will end up multiplying both sides of equation with $\frac{5}{2}$and they will both get same solution $x=35$