Solve 1.01310^5+1000*9.81*0.24-890*9.81*0.1/101.3760

$$\frac{ 1.013 { 10 }^{ 5 } +1000 \cdot 9.81 \cdot 0.24-890 \cdot 9.81 \cdot 0.1 }{ 101.3 } 760$$

Evaluate

$$\frac{781137956}{1013}\approx 771113.480750247$$

Solution Steps

Calculate 10 to the power of 5 and get 100000.

$$\frac{1.013\times 100000+1000\times 9.81\times 0.24-890\times 9.81\times 0.1}{101.3}\times 760$$

Multiply 1.013 and 100000 to get 101300.

$$\frac{101300+1000\times 9.81\times 0.24-890\times 9.81\times 0.1}{101.3}\times 760$$

Multiply 1000 and 9.81 to get 9810.

$$\frac{101300+9810\times 0.24-890\times 9.81\times 0.1}{101.3}\times 760$$

Multiply 9810 and 0.24 to get 2354.4.

$$\frac{101300+2354.4-890\times 9.81\times 0.1}{101.3}\times 760$$

Add 101300 and 2354.4 to get 103654.4.

$$\frac{103654.4-890\times 9.81\times 0.1}{101.3}\times 760$$

Multiply 890 and 9.81 to get 8730.9.

$$\frac{103654.4-8730.9\times 0.1}{101.3}\times 760$$

Multiply 8730.9 and 0.1 to get 873.09.

$$\frac{103654.4-873.09}{101.3}\times 760$$

Subtract 873.09 from 103654.4 to get 102781.31.

$$\frac{102781.31}{101.3}\times 760$$

Expand \frac{102781.31}{101.3} by multiplying both numerator and the denominator by 100.

$$\frac{10278131}{10130}\times 760$$

Express \frac{10278131}{10130}\times 760 as a single fraction.

$$\frac{10278131\times 760}{10130}$$

Multiply 10278131 and 760 to get 7811379560.

$$\frac{7811379560}{10130}$$

Reduce the fraction \frac{7811379560}{10130} to lowest terms by extracting and canceling out 10.

$$\frac{781137956}{1013}$$

Factor

$$\frac{19 \cdot 3659 \cdot 2 ^ {2} \cdot 53 ^ {2}}{1013} = 771113\frac{487}{1013} = 771113.4807502468$$