Solve 3/5*6/7div21/3=

$$\frac { 3 } { 5 } \times \frac { 6 } { 7 } \div 2 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{54}{245}\approx 0.220408163$$

Solution Steps

Multiply \frac{3}{5} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 6}{5\times 7}}{\frac{2\times 3+1}{3}}$$

Do the multiplications in the fraction \frac{3\times 6}{5\times 7}.

$$\frac{\frac{18}{35}}{\frac{2\times 3+1}{3}}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{18}{35}}{\frac{6+1}{3}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{18}{35}}{\frac{7}{3}}$$

Divide \frac{18}{35} by \frac{7}{3} by multiplying \frac{18}{35} by the reciprocal of \frac{7}{3}.

$$\frac{18}{35}\times \frac{3}{7}$$

Multiply \frac{18}{35} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{18\times 3}{35\times 7}$$

Do the multiplications in the fraction \frac{18\times 3}{35\times 7}.

$$\frac{54}{245}$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{5 \cdot 7 ^ {2}} = 0.22040816326530613$$