Solve 9(3/7)div(5/8)=

$$9 ( \frac { 3 } { 7 } ) \div ( \frac { 5 } { 8 } ) =$$

Evaluate

$$\frac{216}{35}\approx 6.171428571$$

Solution Steps

Express 9\times \frac{3}{7} as a single fraction.

$$\frac{\frac{9\times 3}{7}}{\frac{5}{8}}$$

Multiply 9 and 3 to get 27.

$$\frac{\frac{27}{7}}{\frac{5}{8}}$$

Divide \frac{27}{7} by \frac{5}{8} by multiplying \frac{27}{7} by the reciprocal of \frac{5}{8}.

$$\frac{27}{7}\times \frac{8}{5}$$

Multiply \frac{27}{7} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 8}{7\times 5}$$

Do the multiplications in the fraction \frac{27\times 8}{7\times 5}.

$$\frac{216}{35}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {3}}{5 \cdot 7} = 6\frac{6}{35} = 6.171428571428572$$