Respuesta :

Answer:

18 8/9

Step-by-step explanation:

make 5 2/3 an improper fraction. Then multiply it by the inverse of the next number. 17/3 x 10/3 = 170/9 or 18 8/9

[tex] = 5 \frac{2}{3} \div \frac{3}{10} [/tex]

[tex] = \frac{(3 \times 5 + 2)}{3} \div \frac{3}{10} [/tex]

[tex] = \frac{17}{3} \div \frac{3}{10} [/tex]

[tex] = \frac{17}{3} \times \frac{10}{3} [/tex]

[tex] = \frac{170}{9} [/tex]

[tex] = 18 \frac{8}{9} [/tex]

[tex]therefore \: , 5\frac{2}{3} \div \frac{3}{10} = 18 \frac{8}{9} [/tex]