Solve for m m/(m+9)=63/22

$\frac{m}{m + 9} = \frac{63}{22}$

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$m \cdot 22 = (m + 9) \cdot 63$

Solve the equation for $m$ .

Move $22$ to the left of $m$ .

$22 m = (m + 9) \cdot 63$

Simplify $(m + 9) \cdot 63$ .

Apply the distributive property.

$22 m = m \cdot 63 + 9 \cdot 63$

Simplify the expression.

Move $63$ to the left of $m$ .

$22 m = 63 \cdot m + 9 \cdot 63$

Multiply $9$ by $63$ .

$22 m = 63 m + 567$

Move all terms containing $m$ to the left side of the equation.

Subtract $63 m$ from both sides of the equation.

$22 m - 63 m = 567$

Subtract $63 m$ from $22 m$ .

$- 41 m = 567$

Divide each term in $- 41 m = 567$ by $- 41$ and simplify.

Divide each term in $- 41 m = 567$ by $- 41$ .

$\frac{- 41 m}{- 41} = \frac{567}{- 41}$

Simplify the left side.

Cancel the common factor of $- 41$ .

Cancel the common factor.

$\frac{- 41 m}{- 41} = \frac{567}{- 41}$

Divide $m$ by $1$ .

$m = \frac{567}{- 41}$

Simplify the right side.

Move the negative in front of the fraction.

$m = - \frac{567}{41}$

The result can be shown in multiple forms.

Exact Form:

$m = - \frac{567}{41}$

Decimal Form:

$m = - 13.\overline{82926}$

Mixed Number Form:

$m = - 13 \frac{34}{41}$

Solve for m m/(m+9)=63/22

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