Solve x=-3/28+5/9+7/8+1/9

$$x = \frac { - 3 } { 28 } + \frac { 5 } { 9 } + \frac { 7 } { 8 } + \frac { 1 } { 9 }$$

Solve for x

$$x = \frac{241}{168} = 1\frac{73}{168} \approx 1.43452381$$

Steps for Solving Linear Equation

Fraction \frac{-3}{28} can be rewritten as -\frac{3}{28} by extracting the negative sign.

$$x=-\frac{3}{28}+\frac{5}{9}+\frac{7}{8}+\frac{1}{9}$$

Least common multiple of 28 and 9 is 252. Convert -\frac{3}{28} and \frac{5}{9} to fractions with denominator 252.

$$x=-\frac{27}{252}+\frac{140}{252}+\frac{7}{8}+\frac{1}{9}$$

Since -\frac{27}{252} and \frac{140}{252} have the same denominator, add them by adding their numerators.

$$x=\frac{-27+140}{252}+\frac{7}{8}+\frac{1}{9}$$

Add -27 and 140 to get 113.

$$x=\frac{113}{252}+\frac{7}{8}+\frac{1}{9}$$

Least common multiple of 252 and 8 is 504. Convert \frac{113}{252} and \frac{7}{8} to fractions with denominator 504.

$$x=\frac{226}{504}+\frac{441}{504}+\frac{1}{9}$$

Since \frac{226}{504} and \frac{441}{504} have the same denominator, add them by adding their numerators.

$$x=\frac{226+441}{504}+\frac{1}{9}$$

Add 226 and 441 to get 667.

$$x=\frac{667}{504}+\frac{1}{9}$$

Least common multiple of 504 and 9 is 504. Convert \frac{667}{504} and \frac{1}{9} to fractions with denominator 504.

$$x=\frac{667}{504}+\frac{56}{504}$$

Since \frac{667}{504} and \frac{56}{504} have the same denominator, add them by adding their numerators.

$$x=\frac{667+56}{504}$$

Add 667 and 56 to get 723.

$$x=\frac{723}{504}$$

Reduce the fraction \frac{723}{504} to lowest terms by extracting and canceling out 3.

$$x=\frac{241}{168}$$

Assign x

$$x≔\frac{241}{168}$$