Solve 1/2div12/5*1/5

$$\frac{ 1 }{ 2 } \div \frac{ 12 }{ 5 } \times \frac{ 1 }{ 5 }$$

Evaluate

$$\frac{1}{24}\approx 0.041666667$$

Solution Steps

Divide \frac{1}{2} by \frac{12}{5} by multiplying \frac{1}{2} by the reciprocal of \frac{12}{5}.

$$\frac{1}{2}\times \frac{5}{12}\times \frac{1}{5}$$

Multiply \frac{1}{2} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{2\times 12}\times \frac{1}{5}$$

Do the multiplications in the fraction \frac{1\times 5}{2\times 12}.

$$\frac{5}{24}\times \frac{1}{5}$$

Multiply \frac{5}{24} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{24\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{24}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3} = 0.041666666666666664$$