Answer:
Step-by-step explanation:
( a ). If input is 2
2 × [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{3}[/tex] = [tex]\frac{3}{2}[/tex] × [tex]\frac{3}{2}[/tex] = [tex]\frac{9}{4}[/tex] = 2.25
If input is 2, then output is [tex]2\frac{1}{4}[/tex]
( b ). If output is 1/2
x × [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{3}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{9}{8}[/tex] x = [tex]\frac{1}{2}[/tex]
x = [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{9}{8}[/tex] = [tex]\frac{4}{9}[/tex]
If output is [tex]\frac{1}{2}[/tex] , then input is [tex]\frac{4}{9}[/tex]
