Answer:
Multiply and divide are inverse operations.
Multiply by a number is the same as divide by its reciprocal.
Step-by-step explanation:
To divide by a fraction, you can multiply by its inverse.
If a number is defined as a/b, then the reciprocal of the number is b/a.
The given equation is
[tex]\frac{5}{8}\div \frac{2}{3}=\frac{5}{8}\times \frac{3}{2}[/tex]
Here, [tex]\frac{3}{2}[/tex] and [tex]\frac{2}{3}[/tex] are inverse of each other.
Reason 1:
Multiply and divide are inverse operations.
Reason 2:
Multiply by a number is the same as divide by its reciprocal.
