Answer:
Step-by-step explanation:
Given the expression, [tex]\frac{2}{3} \div \frac{4}{5}[/tex] we are to determine the quotient which is as shown;
Given
[tex]\frac{2}{3} \div \frac{4}{5}[/tex]
multiply [tex]\frac{2}{3}[/tex] with the reciprocal of [tex]\frac{4}{5}[/tex] i.e [tex]\frac{5}{4}[/tex]
[tex]\frac{2}{3} \times \frac{5}{4}[/tex]
simplify the resulting expression
[tex]= \frac{2}{3} \times \frac{5}{4}\\\\= \frac{10}{12} \\\\= \frac{2\times5}{2\times 6} \\\\[/tex]
[tex]= \frac{5}{6}[/tex]
Hence the quotient is 10 over 12 OR 5 over 6
