Solve 9/4x-2=1/40

$$\frac { 9 } { 4 } x - 2 = \frac { 1 } { 40 }$$

Solve for x

$$x=\frac{9}{10}=0.9$$

Steps for Solving Linear Equation

Add 2 to both sides.

$$\frac{9}{4}x=\frac{1}{40}+2$$

Convert 2 to fraction \frac{80}{40}.

$$\frac{9}{4}x=\frac{1}{40}+\frac{80}{40}$$

Since \frac{1}{40} and \frac{80}{40} have the same denominator, add them by adding their numerators.

$$\frac{9}{4}x=\frac{1+80}{40}$$

Add 1 and 80 to get 81.

$$\frac{9}{4}x=\frac{81}{40}$$

Multiply both sides by \frac{4}{9}, the reciprocal of \frac{9}{4}.

$$x=\frac{81}{40}\times \frac{4}{9}$$

Multiply \frac{81}{40} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{81\times 4}{40\times 9}$$

Do the multiplications in the fraction \frac{81\times 4}{40\times 9}.

$$x=\frac{324}{360}$$

Reduce the fraction \frac{324}{360} to lowest terms by extracting and canceling out 36.

$$x=\frac{9}{10}$$