Solve 1/2*3/7div4/5

$$\frac { 1 } { 2 } \cdot \frac { 3 } { 7 } \div \frac { 4 } { 5 }$$

Evaluate

$$\frac{15}{56}\approx 0.267857143$$

Solution Steps

Multiply \frac{1}{2} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 3}{2\times 7}}{\frac{4}{5}}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 7}.

$$\frac{\frac{3}{14}}{\frac{4}{5}}$$

Divide \frac{3}{14} by \frac{4}{5} by multiplying \frac{3}{14} by the reciprocal of \frac{4}{5}.

$$\frac{3}{14}\times \frac{5}{4}$$

Multiply \frac{3}{14} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{14\times 4}$$

Do the multiplications in the fraction \frac{3\times 5}{14\times 4}.

$$\frac{15}{56}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3} \cdot 7} = 0.26785714285714285$$