Solve 0.2/300=0.67*10^-3

$$\frac { 0.2 } { 300 } = 0.67 \times 10 ^ { - 3 }$$

Verify

Solution Steps

Expand \frac{0.2}{300} by multiplying both numerator and the denominator by 10.

$$\frac{2}{3000}=0.67\times 10^{-3}$$

Reduce the fraction \frac{2}{3000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{1500}=0.67\times 10^{-3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{1}{1500}=0.67\times \frac{1}{1000}$$

Multiply 0.67 and \frac{1}{1000} to get \frac{67}{100000}.

$$\frac{1}{1500}=\frac{67}{100000}$$

Least common multiple of 1500 and 100000 is 300000. Convert \frac{1}{1500} and \frac{67}{100000} to fractions with denominator 300000.

$$\frac{200}{300000}=\frac{201}{300000}$$

Compare \frac{200}{300000} and \frac{201}{300000}.

$$\text{false}$$