Basic Math Examples

$\frac{7}{j^{2} k} + \frac{9}{j^{2} k^{2}}$

Step 1

To write $\frac{7}{j^{2} k}$ as a fraction with a common denominator, multiply by $\frac{k}{k}$ .

$\frac{7}{j^{2} k} \cdot \frac{k}{k} + \frac{9}{j^{2} k^{2}}$

Step 2

Write each expression with a common denominator of $j^{2} k^{2}$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{7}{j^{2} k}$ by $\frac{k}{k}$ .

$\frac{7 k}{j^{2} k \cdot k} + \frac{9}{j^{2} k^{2}}$

Step 2.2

Multiply $k$ by $k$ by adding the exponents.

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Step 2.2.1

Move $k$ .

$\frac{7 k}{j^{2} (k \cdot k)} + \frac{9}{j^{2} k^{2}}$

Step 2.2.2

Multiply $k$ by $k$ .

$\frac{7 k}{j^{2} k^{2}} + \frac{9}{j^{2} k^{2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{7 k + 9}{j^{2} k^{2}}$