Solve 5/6-9w=23/28

$$\frac { 5 } { 6 } - 9 w = \frac { 23 } { 28 }$$

Solve for w

$$w=\frac{1}{756}\approx 0.001322751$$

Steps for Solving Linear Equation

Subtract \frac{5}{6} from both sides.

$$-9w=\frac{23}{28}-\frac{5}{6}$$

Least common multiple of 28 and 6 is 84. Convert \frac{23}{28} and \frac{5}{6} to fractions with denominator 84.

$$-9w=\frac{69}{84}-\frac{70}{84}$$

Since \frac{69}{84} and \frac{70}{84} have the same denominator, subtract them by subtracting their numerators.

$$-9w=\frac{69-70}{84}$$

Subtract 70 from 69 to get -1.

$$-9w=-\frac{1}{84}$$

Divide both sides by -9.

$$w=\frac{-\frac{1}{84}}{-9}$$

Express \frac{-\frac{1}{84}}{-9} as a single fraction.

$$w=\frac{-1}{84\left(-9\right)}$$

Multiply 84 and -9 to get -756.

$$w=\frac{-1}{-756}$$

Fraction \frac{-1}{-756} can be simplified to \frac{1}{756} by removing the negative sign from both the numerator and the denominator.

$$w=\frac{1}{756}$$