Solve 6r+5/7r=4/3

$$\frac { 6 r + 5 } { 7 r } = \frac { 4 } { 3 }$$

Solve for r

$$r = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Variable r cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 21r, the least common multiple of 7r,3.

$$3\left(6r+5\right)=28r$$

Use the distributive property to multiply 3 by 6r+5.

$$18r+15=28r$$

Subtract 28r from both sides.

$$18r+15-28r=0$$

Combine 18r and -28r to get -10r.

$$-10r+15=0$$

Subtract 15 from both sides. Anything subtracted from zero gives its negation.

$$-10r=-15$$

Divide both sides by -10.

$$r=\frac{-15}{-10}$$

Reduce the fraction \frac{-15}{-10} to lowest terms by extracting and canceling out -5.

$$r=\frac{3}{2}$$