Solve 32/b+22/b=54/6

$$3 \frac { 2 } { b } + 2 \frac { 2 } { b } = 5 \frac { 4 } { 6 }$$

Solve for b

$$b = \frac{30}{17} = 1\frac{13}{17} \approx 1.764705882$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6b, the least common multiple of b,6.

$$3\times 6\times 2+2\times 6\times 2=b\left(5\times 6+4\right)$$

Multiply 3 and 6 to get 18. Multiply 2 and 6 to get 12.

$$18\times 2+12\times 2=b\left(5\times 6+4\right)$$

Multiply 18 and 2 to get 36.

$$36+12\times 2=b\left(5\times 6+4\right)$$

Multiply 12 and 2 to get 24.

$$36+24=b\left(5\times 6+4\right)$$

Add 36 and 24 to get 60.

$$60=b\left(5\times 6+4\right)$$

Multiply 5 and 6 to get 30.

$$60=b\left(30+4\right)$$

Add 30 and 4 to get 34.

$$60=b\times 34$$

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

$$b\times 34=60$$

Divide both sides by 34.

$$b=\frac{60}{34}$$

Reduce the fraction \frac{60}{34} to lowest terms by extracting and canceling out 2.

$$b=\frac{30}{17}$$