Answer:
Multiply both sides by [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{5}x = 10[/tex]
Required
Get an equivalent of [tex]x = 25[/tex]
To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]
[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]
[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]
[tex]x = 10 * \frac{5}{2}[/tex]
[tex]x =\frac{10*5}{2}[/tex]
[tex]x =\frac{50}{2}[/tex]
[tex]x = 25[/tex]
