Basic Math Examples

$\frac{4}{5} k - \frac{1}{10} k$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{4}{5}$ and $k$ .

$\frac{4 k}{5} - \frac{1}{10} k$

Step 1.2

Combine $k$ and $\frac{1}{10}$ .

$\frac{4 k}{5} - \frac{k}{10}$

Step 2

To write $\frac{4 k}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{4 k}{5} \cdot \frac{2}{2} - \frac{k}{10}$

Step 3

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{4 k}{5}$ by $\frac{2}{2}$ .

$\frac{4 k \cdot 2}{5 \cdot 2} - \frac{k}{10}$

Step 3.2

Multiply $5$ by $2$ .

$\frac{4 k \cdot 2}{10} - \frac{k}{10}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 k \cdot 2 - k}{10}$

Step 5

Simplify the numerator.

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Step 5.1

Factor $k$ out of $4 k \cdot 2 - k$ .

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Step 5.1.1

Factor $k$ out of $4 k \cdot 2$ .

$\frac{k (4 \cdot 2) - k}{10}$

Step 5.1.2

Factor $k$ out of $- k$ .

$\frac{k (4 \cdot 2) + k \cdot - 1}{10}$

Step 5.1.3

Factor $k$ out of $k (4 \cdot 2) + k \cdot - 1$ .

$\frac{k (4 \cdot 2 - 1)}{10}$

Step 5.2

Multiply $4$ by $2$ .

$\frac{k (8 - 1)}{10}$

Step 5.3

Subtract $1$ from $8$ .

$\frac{k \cdot 7}{10}$

Step 6

Move $7$ to the left of $k$ .

$\frac{7 k}{10}$