Solve for v -9 1/2+v=8/9

$- 9 \frac{1}{2} + v = \frac{8}{9}$

Simplify the left side.

Convert $9 \frac{1}{2}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$- (9 + \frac{1}{2}) + v = \frac{8}{9}$

Add $9$ and $\frac{1}{2}$ .

To write $9$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- (9 \cdot \frac{2}{2} + \frac{1}{2}) + v = \frac{8}{9}$

Combine $9$ and $\frac{2}{2}$ .

$- (\frac{9 \cdot 2}{2} + \frac{1}{2}) + v = \frac{8}{9}$

Combine the numerators over the common denominator.

$- \frac{9 \cdot 2 + 1}{2} + v = \frac{8}{9}$

Simplify the numerator.

Multiply $9$ by $2$ .

$- \frac{18 + 1}{2} + v = \frac{8}{9}$

Add $18$ and $1$ .

$- \frac{19}{2} + v = \frac{8}{9}$

Move all terms not containing $v$ to the right side of the equation.

Add $\frac{19}{2}$ to both sides of the equation.

$v = \frac{8}{9} + \frac{19}{2}$

To write $\frac{8}{9}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$v = \frac{8}{9} \cdot \frac{2}{2} + \frac{19}{2}$

To write $\frac{19}{2}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$v = \frac{8}{9} \cdot \frac{2}{2} + \frac{19}{2} \cdot \frac{9}{9}$

Write each expression with a common denominator of $18$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{8}{9}$ by $\frac{2}{2}$ .

$v = \frac{8 \cdot 2}{9 \cdot 2} + \frac{19}{2} \cdot \frac{9}{9}$

Multiply $9$ by $2$ .

$v = \frac{8 \cdot 2}{18} + \frac{19}{2} \cdot \frac{9}{9}$

Multiply $\frac{19}{2}$ by $\frac{9}{9}$ .

$v = \frac{8 \cdot 2}{18} + \frac{19 \cdot 9}{2 \cdot 9}$

Multiply $2$ by $9$ .

$v = \frac{8 \cdot 2}{18} + \frac{19 \cdot 9}{18}$

Combine the numerators over the common denominator.

$v = \frac{8 \cdot 2 + 19 \cdot 9}{18}$

Simplify the numerator.

Multiply $8$ by $2$ .

$v = \frac{16 + 19 \cdot 9}{18}$

Multiply $19$ by $9$ .

$v = \frac{16 + 171}{18}$

Add $16$ and $171$ .

$v = \frac{187}{18}$

The result can be shown in multiple forms.

Exact Form:

$v = \frac{187}{18}$

Decimal Form:

$v = 10.3\overline{8}$

Mixed Number Form:

$v = 10 \frac{7}{18}$

Solve for v -9 1/2+v=8/9

Related Questions

Support LCMGCF.com by disabling your adblocker.