Solve for f 7(f-1)=45

$7 (f - 1) = 45$

Step 1

Divide each term in $7 (f - 1) = 45$ by $7$ and simplify.

Divide each term in $7 (f - 1) = 45$ by $7$ .

$\frac{7 (f - 1)}{7} = \frac{45}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 (f - 1)}{7} = \frac{45}{7}$

Divide $f - 1$ by $1$ .

$f - 1 = \frac{45}{7}$

Step 2

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

Add $1$ to both sides of the equation.

$f = \frac{45}{7} + 1$

Write $1$ as a fraction with a common denominator.

$f = \frac{45}{7} + \frac{7}{7}$

Combine the numerators over the common denominator.

$f = \frac{45 + 7}{7}$

Add $45$ and $7$ .

$f = \frac{52}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$f = \frac{52}{7}$

Decimal Form:

$f = 7.\overline{428571}$

Mixed Number Form:

$f = 7 \frac{3}{7}$