Solve 3/7div5/12*6/7

$$\frac { 3 } { 7 } \div \frac { 5 } { 12 } \cdot \frac { 6 } { 7 }$$

Evaluate

$$\frac{216}{245}\approx 0.881632653$$

Solution Steps

Divide \frac{3}{7} by \frac{5}{12} by multiplying \frac{3}{7} by the reciprocal of \frac{5}{12}.

$$\frac{3}{7}\times \frac{12}{5}\times \frac{6}{7}$$

Multiply \frac{3}{7} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 12}{7\times 5}\times \frac{6}{7}$$

Do the multiplications in the fraction \frac{3\times 12}{7\times 5}.

$$\frac{36}{35}\times \frac{6}{7}$$

Multiply \frac{36}{35} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36\times 6}{35\times 7}$$

Do the multiplications in the fraction \frac{36\times 6}{35\times 7}.

$$\frac{216}{245}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {3}}{5 \cdot 7 ^ {2}} = 0.8816326530612245$$