Solve 1/6a*123-4.5*10^-6=4.5*10^-7

$$\frac { 1 } { 6 } a \times 123 - 4.5 \times 10 ^ { - 6 } = 4.5 \times 10 ^ { - 7 }$$

Solve for a

$$a=\frac{99}{410000000}\approx 0.000000241$$

Steps for Solving Linear Equation

Multiply \frac{1}{6} and 123 to get \frac{41}{2}.

$$\frac{41}{2}a-4.5\times 10^{-6}=4.5\times 10^{-7}$$

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

$$\frac{41}{2}a-4.5\times \frac{1}{1000000}=4.5\times 10^{-7}$$

Multiply 4.5 and \frac{1}{1000000} to get \frac{9}{2000000}.

$$\frac{41}{2}a-\frac{9}{2000000}=4.5\times 10^{-7}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{41}{2}a-\frac{9}{2000000}=4.5\times \frac{1}{10000000}$$

Multiply 4.5 and \frac{1}{10000000} to get \frac{9}{20000000}.

$$\frac{41}{2}a-\frac{9}{2000000}=\frac{9}{20000000}$$

Add \frac{9}{2000000} to both sides.

$$\frac{41}{2}a=\frac{9}{20000000}+\frac{9}{2000000}$$

Add \frac{9}{20000000} and \frac{9}{2000000} to get \frac{99}{20000000}.

$$\frac{41}{2}a=\frac{99}{20000000}$$

Multiply both sides by \frac{2}{41}, the reciprocal of \frac{41}{2}.

$$a=\frac{99}{20000000}\times \frac{2}{41}$$

Multiply \frac{99}{20000000} and \frac{2}{41} to get \frac{99}{410000000}.

$$a=\frac{99}{410000000}$$