Solve 2/3*0.01

$$\frac{ 2 }{ 3 } \times 0.01$$

Evaluate

$$\frac{1}{150}\approx 0.006666667$$

Solution Steps

Convert decimal number 0.01 to fraction \frac{1}{100}.

$$\frac{2}{3}\times \frac{1}{100}$$

Multiply \frac{2}{3} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{3\times 100}$$

Do the multiplications in the fraction \frac{2\times 1}{3\times 100}.

$$\frac{2}{300}$$

Reduce the fraction \frac{2}{300} to lowest terms by extracting and canceling out 2.

$$\frac{1}{150}$$

Factor

$$\frac{1}{2 \cdot 3 \cdot 5 ^ {2}} = 0.006666666666666667$$