Solve 3/12+x=16/17

$$\frac { 3 } { 12 } + x = \frac { 16 } { 17 }$$

Solve for x

$$x=\frac{47}{68}\approx 0.691176471$$

Steps for Solving Linear Equation

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{4}+x=\frac{16}{17}$$

Subtract \frac{1}{4} from both sides.

$$x=\frac{16}{17}-\frac{1}{4}$$

Least common multiple of 17 and 4 is 68. Convert \frac{16}{17} and \frac{1}{4} to fractions with denominator 68.

$$x=\frac{64}{68}-\frac{17}{68}$$

Since \frac{64}{68} and \frac{17}{68} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{64-17}{68}$$

Subtract 17 from 64 to get 47.

$$x=\frac{47}{68}$$