Solve 0.48*10^-2/0.02

$$\frac { 0.48 \times 10 ^ { - 2 } } { 0.02 }$$

Evaluate

$$0.24$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{0.48\times \frac{1}{100}}{0.02}$$

Multiply 0.48 and \frac{1}{100} to get \frac{3}{625}.

$$\frac{\frac{3}{625}}{0.02}$$

Express \frac{\frac{3}{625}}{0.02} as a single fraction.

$$\frac{3}{625\times 0.02}$$

Multiply 625 and 0.02 to get 12.5.

$$\frac{3}{12.5}$$

Expand \frac{3}{12.5} by multiplying both numerator and the denominator by 10.

$$\frac{30}{125}$$

Reduce the fraction \frac{30}{125} to lowest terms by extracting and canceling out 5.

$$\frac{6}{25}$$

Factor

$$\frac{2 \cdot 3}{5 ^ {2}} = 0.24$$