Basic Math Examples

$k + 4 \div 15 k \div 4 k - 3 \div 20 k$

Step 1

Rewrite the division as a fraction.

$k + \frac{4 \div 15 k}{4 k} - 3 \div 20 k$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$k + 4 \div 15 k \cdot \frac{1}{4 k} - 3 \div 20 k$

Step 3

Rewrite the division as a fraction.

$k + \frac{4}{15 k} \cdot \frac{1}{4 k} - 3 \div 20 k$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $4 k$ .

$k + \frac{4}{15 k} \cdot \frac{1}{4 (k)} - 3 \div 20 k$

Step 4.2

Cancel the common factor.

$k + \frac{4}{15 k} \cdot \frac{1}{4 k} - 3 \div 20 k$

Step 4.3

Rewrite the expression.

$k + \frac{1}{15 k} \cdot \frac{1}{k} - 3 \div 20 k$

Step 5

Multiply $\frac{1}{15 k}$ by $\frac{1}{k}$ .

$k + \frac{1}{15 k \cdot k} - 3 \div 20 k$

Step 6

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

$k + \frac{1}{15 (k^{1} k)} - 3 \div 20 k$

Step 7

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

$k + \frac{1}{15 (k^{1} k^{1})} - 3 \div 20 k$

Step 8

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

$k + \frac{1}{15 k^{1 + 1}} - 3 \div 20 k$

Step 9

Add $1$ and $1$ .

$k + \frac{1}{15 k^{2}} - 3 \div 20 k$

Step 10

Rewrite the division as a fraction.

$k + \frac{1}{15 k^{2}} - \frac{3}{20 k}$