Solve 17510^-3/880*9.8+4.008^2/2*9.8

$$\frac{ 175 { 10 }^{ -3 } }{ 880 \cdot 9.8 } + \frac{ { 4.008 }^{ 2 } }{ 2 \cdot 9.8 }$$

Evaluate

$$\frac{176709079}{215600000}\approx 0.819615394$$

Solution Steps

Cancel out 5 in both numerator and denominator.

$$\frac{35\times 10^{-3}}{9.8\times 176}+\frac{4.008^{2}}{2\times 9.8}$$

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

$$\frac{35\times \frac{1}{1000}}{9.8\times 176}+\frac{4.008^{2}}{2\times 9.8}$$

Multiply 35 and \frac{1}{1000} to get \frac{7}{200}.

$$\frac{\frac{7}{200}}{9.8\times 176}+\frac{4.008^{2}}{2\times 9.8}$$

Multiply 9.8 and 176 to get 1724.8.

$$\frac{\frac{7}{200}}{1724.8}+\frac{4.008^{2}}{2\times 9.8}$$

Express \frac{\frac{7}{200}}{1724.8} as a single fraction.

$$\frac{7}{200\times 1724.8}+\frac{4.008^{2}}{2\times 9.8}$$

Multiply 200 and 1724.8 to get 344960.

$$\frac{7}{344960}+\frac{4.008^{2}}{2\times 9.8}$$

Reduce the fraction \frac{7}{344960} to lowest terms by extracting and canceling out 7.

$$\frac{1}{49280}+\frac{4.008^{2}}{2\times 9.8}$$

Calculate 4.008 to the power of 2 and get 16.064064.

$$\frac{1}{49280}+\frac{16.064064}{2\times 9.8}$$

Multiply 2 and 9.8 to get 19.6.

$$\frac{1}{49280}+\frac{16.064064}{19.6}$$

Expand \frac{16.064064}{19.6} by multiplying both numerator and the denominator by 1000000.

$$\frac{1}{49280}+\frac{16064064}{19600000}$$

Reduce the fraction \frac{16064064}{19600000} to lowest terms by extracting and canceling out 64.

$$\frac{1}{49280}+\frac{251001}{306250}$$

Add \frac{1}{49280} and \frac{251001}{306250} to get \frac{176709079}{215600000}.

$$\frac{176709079}{215600000}$$

Factor

$$\frac{176709079}{11 \cdot 2 ^ {7} \cdot 5 ^ {5} \cdot 7 ^ {2}} = 0.8196153942486085$$