Solve 2/3c+13/9=15/6

$$\frac { 2 } { 3 } c + 1 \frac { 3 } { 9 } = 1 \frac { 5 } { 6 }$$

Solve for c

$$c=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 3,9,6.

$$12c+2\left(1\times 9+3\right)=3\left(1\times 6+5\right)$$

Multiply 1 and 9 to get 9.

$$12c+2\left(9+3\right)=3\left(1\times 6+5\right)$$

Add 9 and 3 to get 12.

$$12c+2\times 12=3\left(1\times 6+5\right)$$

Multiply 2 and 12 to get 24.

$$12c+24=3\left(1\times 6+5\right)$$

Multiply 1 and 6 to get 6.

$$12c+24=3\left(6+5\right)$$

Add 6 and 5 to get 11.

$$12c+24=3\times 11$$

Multiply 3 and 11 to get 33.

$$12c+24=33$$

Subtract 24 from both sides.

$$12c=33-24$$

Subtract 24 from 33 to get 9.

$$12c=9$$

Divide both sides by 12.

$$c=\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$c=\frac{3}{4}$$