Answer:
✨Hope it helps✨
The answer is 1 1/5.
Step-by-step explanation:
[tex]\frac { 4 } { 5 } \div \frac { 2 } { 3 }[/tex]
[tex]Divide \: \frac{4}{5} \: by \: \: \frac{2}{3} \: by \: multiplying \: \\ \frac{4}{5} \: by \: the \: reciprocal \: of \: \frac{2}{3}.[/tex]
[tex]\frac{4}{5}\times \left(\frac{3}{2}\right) [/tex]
[tex]Multiply \: \frac{4}{5} \: times \: \\ \frac{3}{2} \: by \: multiplying \: numerator \: times \: \\ numerator \: and \: denominator \\ \: times \: denominator.[/tex]
[tex]\frac{4\times 3}{5\times 2} [/tex]
[tex]\frac{12}{10} [/tex]
[tex]Reduce \: the \: fraction \: \\ \frac{12}{10} \: to \: lowest \: terms \: by \: extracting \: and \\ canceling \: out \: 2.[/tex]
[tex]\frac{6}{5}[/tex]
