Solve for f 3.1=72/f-5

$3.1 = \frac{72}{f} - 5$

Step 1

Rewrite the equation as $\frac{72}{f} - 5 = 3.1$ .

$\frac{72}{f} - 5 = 3.1$

Step 2

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

Add $5$ to both sides of the equation.

$\frac{72}{f} = 3.1 + 5$

Add $3.1$ and $5$ .

$\frac{72}{f} = 8.1$

Step 3

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.

$f, 1$

The LCM of one and any expression is the expression.

$f$

Step 4

Multiply each term in $\frac{72}{f} = 8.1$ by $f$ to eliminate the fractions.

Multiply each term in $\frac{72}{f} = 8.1$ by $f$ .

$\frac{72}{f} f = 8.1 f$

Simplify the left side.

Cancel the common factor of $f$ .

Cancel the common factor.

$\frac{72}{f} f = 8.1 f$

Rewrite the expression.

$72 = 8.1 f$

Step 5

Solve the equation.

Rewrite the equation as $8.1 f = 72$ .

$8.1 f = 72$

Divide each term in $8.1 f = 72$ by $8.1$ and simplify.

Divide each term in $8.1 f = 72$ by $8.1$ .

$\frac{8.1 f}{8.1} = \frac{72}{8.1}$

Simplify the left side.

Cancel the common factor of $8.1$ .

Cancel the common factor.

$\frac{8.1 f}{8.1} = \frac{72}{8.1}$

Divide $f$ by $1$ .

$f = \frac{72}{8.1}$

Simplify the right side.

Divide $72$ by $8.1$ .

$f = 8.\overline{8}$