Solve 2*[8+{2/7text{of}(8/9div4/3)}]

$$2 \times [ 8 + \{ \frac { 2 } { 7 } \text { of } ( \frac { 8 } { 9 } \div \frac { 4 } { 3 } ) \} ]$$

Evaluate

$$\frac{344}{21}\approx 16.380952381$$

Solution Steps

Divide \frac{8}{9} by \frac{4}{3} by multiplying \frac{8}{9} by the reciprocal of \frac{4}{3}.

$$2\left(8+\frac{2}{7}\times \frac{8}{9}\times \frac{3}{4}\right)$$

Multiply \frac{8}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$2\left(8+\frac{2}{7}\times \frac{8\times 3}{9\times 4}\right)$$

Do the multiplications in the fraction \frac{8\times 3}{9\times 4}.

$$2\left(8+\frac{2}{7}\times \frac{24}{36}\right)$$

Reduce the fraction \frac{24}{36} to lowest terms by extracting and canceling out 12.

$$2\left(8+\frac{2}{7}\times \frac{2}{3}\right)$$

Multiply \frac{2}{7} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$2\left(8+\frac{2\times 2}{7\times 3}\right)$$

Do the multiplications in the fraction \frac{2\times 2}{7\times 3}.

$$2\left(8+\frac{4}{21}\right)$$

Convert 8 to fraction \frac{168}{21}.

$$2\left(\frac{168}{21}+\frac{4}{21}\right)$$

Since \frac{168}{21} and \frac{4}{21} have the same denominator, add them by adding their numerators.

$$2\times \frac{168+4}{21}$$

Add 168 and 4 to get 172.

$$2\times \frac{172}{21}$$

Express 2\times \frac{172}{21} as a single fraction.

$$\frac{2\times 172}{21}$$

Multiply 2 and 172 to get 344.

$$\frac{344}{21}$$

Factor

$$\frac{2 ^ {3} \cdot 43}{3 \cdot 7} = 16\frac{8}{21} = 16.38095238095238$$