Basic Math Examples

$\frac{\frac{\frac{k + 3}{15 k}}{3 k - 1}}{5 k}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{\frac{k + 3}{15 k}}{3 k - 1} \cdot \frac{1}{5 k}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{k + 3}{15 k} \cdot \frac{1}{3 k - 1} \frac{1}{5 k}$

Step 3

Multiply $\frac{k + 3}{15 k}$ by $\frac{1}{3 k - 1}$ .

$\frac{k + 3}{15 k (3 k - 1)} \cdot \frac{1}{5 k}$

Step 4

Multiply $\frac{k + 3}{15 k (3 k - 1)} \cdot \frac{1}{5 k}$ .

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Step 4.1

Multiply $\frac{k + 3}{15 k (3 k - 1)}$ by $\frac{1}{5 k}$ .

$\frac{k + 3}{15 k (3 k - 1) (5 k)}$

Step 4.2

Multiply $5$ by $15$ .

$\frac{k + 3}{75 k (3 k - 1) k}$

Step 4.3

Raise $k$ to the power of $1$ .

$\frac{k + 3}{75 (k^{1} k) (3 k - 1)}$

Step 4.4

Raise $k$ to the power of $1$ .

$\frac{k + 3}{75 (k^{1} k^{1}) (3 k - 1)}$

Step 4.5

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{k + 3}{75 k^{1 + 1} (3 k - 1)}$

Step 4.6

Add $1$ and $1$ .

$\frac{k + 3}{75 k^{2} (3 k - 1)}$