Solve x+6/35=26/4513/25

$$x+ \frac{ 6 }{ 35 } = \frac{ 26 }{ 45 } \frac{ 13 }{ 25 }$$

Solve for x

$$x=\frac{1016}{7875}\approx 0.129015873$$

Steps for Solving Linear Equation

Multiply \frac{26}{45} times \frac{13}{25} by multiplying numerator times numerator and denominator times denominator.

$$x+\frac{6}{35}=\frac{26\times 13}{45\times 25}$$

Do the multiplications in the fraction \frac{26\times 13}{45\times 25}.

$$x+\frac{6}{35}=\frac{338}{1125}$$

Subtract \frac{6}{35} from both sides.

$$x=\frac{338}{1125}-\frac{6}{35}$$

Least common multiple of 1125 and 35 is 7875. Convert \frac{338}{1125} and \frac{6}{35} to fractions with denominator 7875.

$$x=\frac{2366}{7875}-\frac{1350}{7875}$$

Since \frac{2366}{7875} and \frac{1350}{7875} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{2366-1350}{7875}$$

Subtract 1350 from 2366 to get 1016.

$$x=\frac{1016}{7875}$$