Write as a Function of f f=(2.24d)/(d+2.24)

$f = \frac{2.24 d}{d + 2.24}$

Step 1

Rewrite the equation as $\frac{2.24 d}{d + 2.24} = f$ .

$\frac{2.24 d}{d + 2.24} = f$

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$d + 2.24, 1$

Remove parentheses.

$d + 2.24, 1$

The LCM of one and any expression is the expression.

$d + 2.24$

Step 3

Multiply each term in $\frac{2.24 d}{d + 2.24} = f$ by $d + 2.24$ to eliminate the fractions.

Multiply each term in $\frac{2.24 d}{d + 2.24} = f$ by $d + 2.24$ .

$\frac{2.24 d}{d + 2.24} (d + 2.24) = f (d + 2.24)$

Simplify the left side.

Cancel the common factor of $d + 2.24$ .

Cancel the common factor.

$\frac{2.24 d}{d + 2.24} (d + 2.24) = f (d + 2.24)$

Rewrite the expression.

$2.24 d = f (d + 2.24)$

Simplify the right side.

Apply the distributive property.

$2.24 d = f d + f \cdot 2.24$

Move $2.24$ to the left of $f$ .

$2.24 d = f d + 2.24 f$

Step 4

Solve the equation.

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

$2.24 d - f d = 2.24 f$

Factor $0.04 d$ out of $2.24 d - f d$ .

Move $f$ .

$2.24 d - 1 d f = 2.24 f$

Factor $0.04 d$ out of $2.24 d$ .

$0.04 d (56) - 1 d f = 2.24 f$

Factor $0.04 d$ out of $- 1 d f$ .

$0.04 d (56) + 0.04 d (- 25 f) = 2.24 f$

Factor $0.04 d$ out of $0.04 d (56) + 0.04 d (- 25 f)$ .

$0.04 d (56 - 25 f) = 2.24 f$

Divide each term in $0.04 d (56 - 25 f) = 2.24 f$ by $0.04 (56 - 25 f)$ and simplify.

Divide each term in $0.04 d (56 - 25 f) = 2.24 f$ by $0.04 (56 - 25 f)$ .

$\frac{0.04 d (56 - 25 f)}{0.04 (56 - 25 f)} = \frac{2.24 f}{0.04 (56 - 25 f)}$

Simplify the left side.

Cancel the common factor of $0.04$ .

Cancel the common factor.

$\frac{0.04 d (56 - 25 f)}{0.04 (56 - 25 f)} = \frac{2.24 f}{0.04 (56 - 25 f)}$

Rewrite the expression.

$\frac{d (56 - 25 f)}{56 - 25 f} = \frac{2.24 f}{0.04 (56 - 25 f)}$

Cancel the common factor of $56 - 25 f$ .

Cancel the common factor.

$\frac{d (56 - 25 f)}{56 - 25 f} = \frac{2.24 f}{0.04 (56 - 25 f)}$

Divide $d$ by $1$ .

$d = \frac{2.24 f}{0.04 (56 - 25 f)}$

Simplify the right side.

Factor $2.24$ out of $2.24 f$ .

$d = \frac{2.24 (f)}{0.04 (56 - 25 f)}$

Separate fractions.

$d = \frac{2.24}{0.04} \cdot \frac{f}{56 - 25 f}$

Divide $2.24$ by $0.04$ .

$d = 56 \frac{f}{56 - 25 f}$

Combine $56$ and $\frac{f}{56 - 25 f}$ .

$d = \frac{56 f}{56 - 25 f}$

Step 5

To rewrite as a function of $f$ , write the equation so that $d$ is by itself on one side of the equal sign and an expression involving only $f$ is on the other side.

$f (f) = \frac{56 f}{56 - 25 f}$

Write as a Function of f f=(2.24d)/(d+2.24)

Related Questions

Support LCMGCF.com by disabling your adblocker.