Solve {l}{1*2+3div4*5}{+6*7div8}{+9*10^-6}

$$\left. \begin{array} { l } { 1 \times 2 + 3 \div 4 \times 5 } \\ { + 6 \times 7 \div 8 } \\ { + 9 \times 10 ^ { - 6 } } \end{array} \right.$$

Evaluate

$$\frac{11000009}{1000000}=11.000009$$

Solution Steps

Multiply 1 and 2 to get 2.

$$2+\frac{3}{4}\times 5+\frac{6\times 7}{8}+9\times 10^{-6}$$

Multiply \frac{3}{4} and 5 to get \frac{15}{4}.

$$2+\frac{15}{4}+\frac{6\times 7}{8}+9\times 10^{-6}$$

Add 2 and \frac{15}{4} to get \frac{23}{4}.

$$\frac{23}{4}+\frac{6\times 7}{8}+9\times 10^{-6}$$

Multiply 6 and 7 to get 42.

$$\frac{23}{4}+\frac{42}{8}+9\times 10^{-6}$$

Reduce the fraction \frac{42}{8} to lowest terms by extracting and canceling out 2.

$$\frac{23}{4}+\frac{21}{4}+9\times 10^{-6}$$

Add \frac{23}{4} and \frac{21}{4} to get 11.

$$11+9\times 10^{-6}$$

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

$$11+9\times \frac{1}{1000000}$$

Multiply 9 and \frac{1}{1000000} to get \frac{9}{1000000}.

$$11+\frac{9}{1000000}$$

Add 11 and \frac{9}{1000000} to get \frac{11000009}{1000000}.

$$\frac{11000009}{1000000}$$

Factor

$$\frac{31 \cdot 354839}{2 ^ {6} \cdot 5 ^ {6}} = 11\frac{9}{1000000} = 11.000009$$