Solve 87/22+v=55/32

$$8 \frac { 7 } { 22 } + v = 5 \frac { 5 } { 32 }$$

Solve for v

$$v = -\frac{1113}{352} = -3\frac{57}{352} \approx -3.161931818$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 352, the least common multiple of 22,32.

$$16\left(8\times 22+7\right)+352v=11\left(5\times 32+5\right)$$

Multiply 8 and 22 to get 176.

$$16\left(176+7\right)+352v=11\left(5\times 32+5\right)$$

Add 176 and 7 to get 183.

$$16\times 183+352v=11\left(5\times 32+5\right)$$

Multiply 16 and 183 to get 2928.

$$2928+352v=11\left(5\times 32+5\right)$$

Multiply 5 and 32 to get 160.

$$2928+352v=11\left(160+5\right)$$

Add 160 and 5 to get 165.

$$2928+352v=11\times 165$$

Multiply 11 and 165 to get 1815.

$$2928+352v=1815$$

Subtract 2928 from both sides.

$$352v=1815-2928$$

Subtract 2928 from 1815 to get -1113.

$$352v=-1113$$

Divide both sides by 352.

$$v=\frac{-1113}{352}$$

Fraction \frac{-1113}{352} can be rewritten as -\frac{1113}{352} by extracting the negative sign.

$$v=-\frac{1113}{352}$$