Solve for d d/(d-4)=20/11

$\frac{d}{d - 4} = \frac{20}{11}$

Step 1

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.

$d \cdot 11 = (d - 4) \cdot 20$

Step 2

Solve the equation for $d$ .

Move $11$ to the left of $d$ .

$11 d = (d - 4) \cdot 20$

Simplify $(d - 4) \cdot 20$ .

Apply the distributive property.

$11 d = d \cdot 20 - 4 \cdot 20$

Simplify the expression.

Move $20$ to the left of $d$ .

$11 d = 20 \cdot d - 4 \cdot 20$

Multiply $- 4$ by $20$ .

$11 d = 20 d - 80$

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

Subtract $20 d$ from both sides of the equation.

$11 d - 20 d = - 80$

Subtract $20 d$ from $11 d$ .

$- 9 d = - 80$

Divide each term in $- 9 d = - 80$ by $- 9$ and simplify.

Divide each term in $- 9 d = - 80$ by $- 9$ .

$\frac{- 9 d}{- 9} = \frac{- 80}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 d}{- 9} = \frac{- 80}{- 9}$

Divide $d$ by $1$ .

$d = \frac{- 80}{- 9}$

Simplify the right side.

Dividing two negative values results in a positive value.

$d = \frac{80}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$d = \frac{80}{9}$

Decimal Form:

$d = 8.\overline{8}$

Mixed Number Form:

$d = 8 \frac{8}{9}$

Solve for d d/(d-4)=20/11

Related Questions

Support LCMGCF.com by disabling your adblocker.