Question

Please help me with this math problem

Answer 1

Answer:

$4 \dfrac{7}{8}$

Step-by-step explanation:

Change each mixed numeral into a fraction.

$8 \dfrac{2}{3} \div 1 \dfrac{7}{9} =$

$= \dfrac{8 \times 3 + 2}{3} \div \dfrac{1 \times 9 + 7}{9}$

$= \dfrac{26}{3} \div \dfrac{16}{9}$

To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction.

$= \dfrac{26}{3} \times \dfrac{9}{16}$

$= \dfrac{26 \times 9}{3 \times 16}$

$= \dfrac{234}{48}$

$= \dfrac{39}{8}$

$= 4 \dfrac{7}{8}$

Answer 2

Answer:

$\dfrac{39}{8}$

Step-by-step explanation:

$8\dfrac{2}{3}\div 1\dfrac{7}{9}= \\\\\\\dfrac{26}{3}\div \dfrac{16}{9}= \\\\\\ \dfrac{26}{3}\times\dfrac{9}{16}= \\\\\\\dfrac{26\times 9}{3\times 16}= \\\\\\\dfrac{234}{48}= \\\\\\\boxed{\dfrac{39}{8}}$

Hope this helps!