Answer:
[tex] \huge{ \bold{ \boxed{ \tt{2}}}}[/tex]
Step-by-step explanation:
[tex] \tt{4 \frac{2}{3} \: \div \: 2 \frac{1}{3} }[/tex]
[tex] \text{Step \: 1 : }[/tex] Convert the mixed number into an improper fraction.
[tex] \tt➵ \: \frac{4 \times 3 + 2}{3} \: \div \: \frac{2 \times 3 + 1}{3} [/tex]
[tex] \tt{ \: ➵ \: \frac{12 + 2}{3} \: \div \: \frac{6 + 1}{3} }[/tex]
[tex] \tt{➵ \: \frac{14}{3} \: \div \frac{7}{3}} [/tex]
[tex] \text{Step \: 2} : [/tex] If any number or fraction is divided by a fraction,we multiply the dividend by the reciprocal of the divisor. Reciprocal of any number or any fraction can be obtained by interchanging the position of numerator and denominator.
[tex] \tt{ \: ➵ \: \frac{14}{3} \: \times \: \frac{3}{7} }[/tex]
[tex] \text{Step \: 3} : [/tex] To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.
[tex] \tt{➵ \: \frac{14 \times 3}{3 \times 7} }[/tex]
[tex] \tt{➵ \: \frac{42}{21} }[/tex]
[tex] \tt{ \: ➵ \boxed{2}}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
