Answer:
a = 24
Step-by-step explanation:
We know that any number multiplied by its reciprocal (or inverse) yields 1:
For example, take 2/3:
[tex]\dfrac{2}{3} \times \dfrac{3}{2}\ =\ \dfrac{2\times 3}{3\times 2}\ =\ \dfrac{6}{6}\ =\ 1[/tex]
So, if we multiply both sides of the equation:
[tex]\dfrac{2}{3}a = 16[/tex]
by 3/2, we should isolate a:
[tex]\dfrac{3}{2} \times \dfrac{2}{3}a = 16 \times \dfrac{3}{2}[/tex]
[tex]1a=\dfrac{16\times 3}{2}[/tex]
[tex]a = \dfrac{48}{2}[/tex]
[tex]\boxed{a=24}[/tex]
