Solve 2.7066(0.0005)+(2.7065)(0.0012)/9.9005+0.9912

$$\frac { 2.7066 ( 0.0005 ) + ( 2.7065 ) ( 0.0012 ) } { 9.9005 + 0.9912 }$$

Evaluate

$$\frac{46011}{108917000}\approx 0.000422441$$

Solution Steps

Multiply 2.7066 and 0.0005 to get 0.0013533.

$$\frac{0.0013533+2.7065\times 0.0012}{9.9005+0.9912}$$

Multiply 2.7065 and 0.0012 to get 0.0032478.

$$\frac{0.0013533+0.0032478}{9.9005+0.9912}$$

Add 0.0013533 and 0.0032478 to get 0.0046011.

$$\frac{0.0046011}{9.9005+0.9912}$$

Add 9.9005 and 0.9912 to get 10.8917.

$$\frac{0.0046011}{10.8917}$$

Expand \frac{0.0046011}{10.8917} by multiplying both numerator and the denominator by 10000000.

$$\frac{46011}{108917000}$$

Factor

$$\frac{3 \cdot 313 \cdot 7 ^ {2}}{108917 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 0.00042244094126720345$$