Solve 5/6+1/2=13/12x

$$\frac{ 5 }{ 6 } + \frac{ 1 }{ 2 } = \frac{ 13 }{ 12 } x$$

Solve for x

$$x = \frac{16}{13} = 1\frac{3}{13} \approx 1.230769231$$

Steps for Solving Linear Equation

Least common multiple of 6 and 2 is 6. Convert \frac{5}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{5}{6}+\frac{3}{6}=\frac{13}{12}x$$

Since \frac{5}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{6}=\frac{13}{12}x$$

Add 5 and 3 to get 8.

$$\frac{8}{6}=\frac{13}{12}x$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}=\frac{13}{12}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{13}{12}x=\frac{4}{3}$$

Multiply both sides by \frac{12}{13}, the reciprocal of \frac{13}{12}.

$$x=\frac{4}{3}\times \frac{12}{13}$$

Multiply \frac{4}{3} times \frac{12}{13} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4\times 12}{3\times 13}$$

Do the multiplications in the fraction \frac{4\times 12}{3\times 13}.

$$x=\frac{48}{39}$$

Reduce the fraction \frac{48}{39} to lowest terms by extracting and canceling out 3.

$$x=\frac{16}{13}$$