Algebra Examples

$f (7) = 7 - \frac{1}{7^{2}}$

Step 1

Raise $7$ to the power of $2$ .

$f (7) = 7 - \frac{1}{49}$

Step 2

To write $7$ as a fraction with a common denominator, multiply by $\frac{49}{49}$ .

$f (7) = 7 \cdot \frac{49}{49} - \frac{1}{49}$

Step 3

Combine $7$ and $\frac{49}{49}$ .

$f (7) = \frac{7 \cdot 49}{49} - \frac{1}{49}$

Step 4

Combine the numerators over the common denominator.

$f (7) = \frac{7 \cdot 49 - 1}{49}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $7$ by $49$ .

$f (7) = \frac{343 - 1}{49}$

Step 5.2

Subtract $1$ from $343$ .

$f (7) = \frac{342}{49}$