Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
to divide 2 fractions follow the procedure
• Leave the first fraction
• Change division to multiplication
• Turn the second fraction upside down
• Simplify by cancelling common factors, if possible
[tex]\frac{1}{6}[/tex] ÷ [tex]\frac{5}{9}[/tex]
= [tex]\frac{1}{6}[/tex] × [tex]\frac{9}{5}[/tex] (cancel 6 and 9 by 3 )
= [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{5}[/tex]
=[tex]\frac{1(3)}{2(5)}[/tex]
= [tex]\frac{3}{10}[/tex] ← in simplest form
The fraction is in simplest form when no factor apart from 1 divides into the numerator/ denominator
