Solve 5.6*10^-3*(3.3*10^5+21000)/4200*35

$$\frac{ 5.6 \times { 10 }^{ -3 } \times (3.3 \times { 10 }^{ 5 } +21000) }{ 4200 \times 35 }$$

Evaluate

$$\frac{117}{8750}\approx 0.013371429$$

Solution Steps

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

$$\frac{5.6\times \frac{1}{1000}\left(3.3\times 10^{5}+21000\right)}{4200\times 35}$$

Multiply 5.6 and \frac{1}{1000} to get \frac{7}{1250}.

$$\frac{\frac{7}{1250}\left(3.3\times 10^{5}+21000\right)}{4200\times 35}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{\frac{7}{1250}\left(3.3\times 100000+21000\right)}{4200\times 35}$$

Multiply 3.3 and 100000 to get 330000.

$$\frac{\frac{7}{1250}\left(330000+21000\right)}{4200\times 35}$$

Add 330000 and 21000 to get 351000.

$$\frac{\frac{7}{1250}\times 351000}{4200\times 35}$$

Multiply \frac{7}{1250} and 351000 to get \frac{9828}{5}.

$$\frac{\frac{9828}{5}}{4200\times 35}$$

Multiply 4200 and 35 to get 147000.

$$\frac{\frac{9828}{5}}{147000}$$

Express \frac{\frac{9828}{5}}{147000} as a single fraction.

$$\frac{9828}{5\times 147000}$$

Multiply 5 and 147000 to get 735000.

$$\frac{9828}{735000}$$

Reduce the fraction \frac{9828}{735000} to lowest terms by extracting and canceling out 84.

$$\frac{117}{8750}$$

Factor

$$\frac{13 \cdot 3 ^ {2}}{2 \cdot 7 \cdot 5 ^ {4}} = 0.01337142857142857$$