Solve 196000*11.5*10^-6+244.27/31.67*23*10^-6*59000/196000+frac{244.29{31.67}*5.9000}=

$$\frac { 196000 \times 11.5 \times 10 ^ { - 6 } + \frac { 244.27 } { 31.67 } \times 23 \times 10 ^ { - 6 } \times 59000 } { 196000 + \frac { 244.29 } { 31.67 } \times 5.9000 } =$$

Evaluate

$$\frac{40285857}{620876131100}\approx 0.000064885$$

Solution Steps

Multiply 196000 and 11.5 to get 2254000.

$$\frac{2254000\times 10^{-6}+\frac{244.27}{31.67}\times 23\times 10^{-6}\times 59000}{196000+\frac{244.29}{31.67}\times 5.9}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{2254000\times \frac{1}{1000000}+\frac{244.27}{31.67}\times 23\times 10^{-6}\times 59000}{196000+\frac{244.29}{31.67}\times 5.9}$$

Multiply 2254000 and \frac{1}{1000000} to get \frac{1127}{500}.

$$\frac{\frac{1127}{500}+\frac{244.27}{31.67}\times 23\times 10^{-6}\times 59000}{196000+\frac{244.29}{31.67}\times 5.9}$$

Expand \frac{244.27}{31.67} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{1127}{500}+\frac{24427}{3167}\times 23\times 10^{-6}\times 59000}{196000+\frac{244.29}{31.67}\times 5.9}$$

Multiply \frac{24427}{3167} and 23 to get \frac{561821}{3167}.

$$\frac{\frac{1127}{500}+\frac{561821}{3167}\times 10^{-6}\times 59000}{196000+\frac{244.29}{31.67}\times 5.9}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\frac{1127}{500}+\frac{561821}{3167}\times \frac{1}{1000000}\times 59000}{196000+\frac{244.29}{31.67}\times 5.9}$$

Multiply \frac{561821}{3167} and \frac{1}{1000000} to get \frac{561821}{3167000000}.

$$\frac{\frac{1127}{500}+\frac{561821}{3167000000}\times 59000}{196000+\frac{244.29}{31.67}\times 5.9}$$

Multiply \frac{561821}{3167000000} and 59000 to get \frac{33147439}{3167000}.

$$\frac{\frac{1127}{500}+\frac{33147439}{3167000}}{196000+\frac{244.29}{31.67}\times 5.9}$$

Add \frac{1127}{500} and \frac{33147439}{3167000} to get \frac{40285857}{3167000}.

$$\frac{\frac{40285857}{3167000}}{196000+\frac{244.29}{31.67}\times 5.9}$$

Expand \frac{244.29}{31.67} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{40285857}{3167000}}{196000+\frac{24429}{3167}\times 5.9}$$

Multiply \frac{24429}{3167} and 5.9 to get \frac{1441311}{31670}.

$$\frac{\frac{40285857}{3167000}}{196000+\frac{1441311}{31670}}$$

Add 196000 and \frac{1441311}{31670} to get \frac{6208761311}{31670}.

$$\frac{\frac{40285857}{3167000}}{\frac{6208761311}{31670}}$$

Divide \frac{40285857}{3167000} by \frac{6208761311}{31670} by multiplying \frac{40285857}{3167000} by the reciprocal of \frac{6208761311}{31670}.

$$\frac{40285857}{3167000}\times \frac{31670}{6208761311}$$

Multiply \frac{40285857}{3167000} and \frac{31670}{6208761311} to get \frac{40285857}{620876131100}.

$$\frac{40285857}{620876131100}$$

Factor

$$\frac{3 \cdot 23 \cdot 583853}{149 \cdot 41669539 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 6.488549806001713 \times 10^{-5}$$