Solve 1/2*3/5/3frac{1{2}}

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

Evaluate

$$\frac{3}{35}\approx 0.085714286$$

Solution Steps

Multiply \frac{1}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 3}{2\times 5}.

$$\frac{\frac{3}{10}}{\frac{3\times 2+1}{2}}$$

Multiply 3 and 2 to get 6.

$$\frac{\frac{3}{10}}{\frac{6+1}{2}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{3}{10}}{\frac{7}{2}}$$

Divide \frac{3}{10} by \frac{7}{2} by multiplying \frac{3}{10} by the reciprocal of \frac{7}{2}.

$$\frac{3}{10}\times \frac{2}{7}$$

Multiply \frac{3}{10} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{10\times 7}$$

Do the multiplications in the fraction \frac{3\times 2}{10\times 7}.

$$\frac{6}{70}$$

Reduce the fraction \frac{6}{70} to lowest terms by extracting and canceling out 2.

$$\frac{3}{35}$$

Factor

$$\frac{3}{5 \cdot 7} = 0.08571428571428572$$