Solve 4/5+x=6/8

$$\frac { 4 } { 5 } + x = \frac { 6 } { 8 }$$

Solve for x

$$x=-\frac{1}{20}=-0.05$$

Steps for Solving Linear Equation

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

$$\frac{4}{5}+x=\frac{3}{4}$$

Subtract \frac{4}{5} from both sides.

$$x=\frac{3}{4}-\frac{4}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{4}{5} to fractions with denominator 20.

$$x=\frac{15}{20}-\frac{16}{20}$$

Since \frac{15}{20} and \frac{16}{20} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{15-16}{20}$$

Subtract 16 from 15 to get -1.

$$x=-\frac{1}{20}$$