Solve 98*10^-2*0.30*10^-3/0.085*0.10

$$\frac { 98 \times 10 ^ { - 2 } \times 0.30 \times 10 ^ { - 3 } } { 0.085 \times 0.10 }$$

Evaluate

$$\frac{147}{4250}\approx 0.034588235$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and -3 to get -5.

$$\frac{98\times 10^{-5}\times 0.3}{0.085\times 0.1}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{98\times \frac{1}{100000}\times 0.3}{0.085\times 0.1}$$

Multiply 98 and \frac{1}{100000} to get \frac{49}{50000}.

$$\frac{\frac{49}{50000}\times 0.3}{0.085\times 0.1}$$

Multiply \frac{49}{50000} and 0.3 to get \frac{147}{500000}.

$$\frac{\frac{147}{500000}}{0.085\times 0.1}$$

Multiply 0.085 and 0.1 to get 0.0085.

$$\frac{\frac{147}{500000}}{0.0085}$$

Express \frac{\frac{147}{500000}}{0.0085} as a single fraction.

$$\frac{147}{500000\times 0.0085}$$

Multiply 500000 and 0.0085 to get 4250.

$$\frac{147}{4250}$$

Factor

$$\frac{3 \cdot 7 ^ {2}}{2 \cdot 17 \cdot 5 ^ {3}} = 0.03458823529411765$$