Step-by-step explanation:
Our problem:
[tex] \frac{2}{3} \div \frac{4}{5} = unknown[/tex]
How to solve?
Find the reciprocal (opposite) of 4/5, then multiply. Simplify if necessary.
Find the reciprocal:
[tex] \frac{2}{3} \times \frac{5}{4} = unknown[/tex]
Multiply:
[tex] \frac{2}{3} \times \frac{5}{4} = \frac{10}{12} [/tex]
Simplify:
[tex] \frac{10 \div 2}{12 \div 2} = \frac{5}{6} [/tex]
5/6 is your answer.
