Let's label the original price of the dress as x. We know that
[tex]x \times \frac{5}{8} = 30[/tex]
so that means that we can find x by dividing both sides by 5/8:
[tex]x = 30 \div \frac{5}{8} [/tex]
A simple rule for dividing fractions is 'Keep Change Flip'. You keep the first number/fraction the same, you change the ÷ to a × and you flip the second fraction. Through this rule, we can now solve the equation much more easily:
[tex]x = 30 \times \frac{8}{5} \\ x = \frac{240}{5} \\ x = 48[/tex]
Therefore, the original price of the dress was $48
