Solve 7/3*1/2=x+3/4

$$\frac { 7 } { 3 } \times \frac { 1 } { 2 } = x + \frac { 3 } { 4 }$$

Solve for x

$$x=\frac{5}{12}\approx 0.416666667$$

Steps for Solving Linear Equation

Multiply \frac{7}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 1}{3\times 2}=x+\frac{3}{4}$$

Do the multiplications in the fraction \frac{7\times 1}{3\times 2}.

$$\frac{7}{6}=x+\frac{3}{4}$$

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

$$x+\frac{3}{4}=\frac{7}{6}$$

Subtract \frac{3}{4} from both sides.

$$x=\frac{7}{6}-\frac{3}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{7}{6} and \frac{3}{4} to fractions with denominator 12.

$$x=\frac{14}{12}-\frac{9}{12}$$

Since \frac{14}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{14-9}{12}$$

Subtract 9 from 14 to get 5.

$$x=\frac{5}{12}$$