Solve n-35/6=15/12

$$n - 3 \frac { 5 } { 6 } = 1 \frac { 5 } { 12 }$$

Solve for n

$$n = \frac{21}{4} = 5\frac{1}{4} = 5.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,12.

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

Multiply 3 and 6 to get 18.

$$12n-2\left(18+5\right)=1\times 12+5$$

Add 18 and 5 to get 23.

$$12n-2\times 23=1\times 12+5$$

Multiply -2 and 23 to get -46.

$$12n-46=1\times 12+5$$

Multiply 1 and 12 to get 12.

$$12n-46=12+5$$

Add 12 and 5 to get 17.

$$12n-46=17$$

Add 46 to both sides.

$$12n=17+46$$

Add 17 and 46 to get 63.

$$12n=63$$

Divide both sides by 12.

$$n=\frac{63}{12}$$

Reduce the fraction \frac{63}{12} to lowest terms by extracting and canceling out 3.

$$n=\frac{21}{4}$$