Basic Math Examples

$(\frac{2}{3} - \frac{1}{6}) s$

Step 1

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{2}{3} \cdot \frac{2}{2} - \frac{1}{6}) s$

Step 2

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{2}{3}$ by $\frac{2}{2}$ .

$(\frac{2 \cdot 2}{3 \cdot 2} - \frac{1}{6}) s$

Step 2.2

Multiply $3$ by $2$ .

$(\frac{2 \cdot 2}{6} - \frac{1}{6}) s$

Step 3

Combine the numerators over the common denominator.

$\frac{2 \cdot 2 - 1}{6} s$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $2$ by $2$ .

$\frac{4 - 1}{6} s$

Step 4.2

Subtract $1$ from $4$ .

$\frac{3}{6} s$

Step 5

Cancel the common factor of $3$ and $6$ .

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Step 5.1

Factor $3$ out of $3$ .

$\frac{3 (1)}{6} s$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $3$ out of $6$ .

$\frac{3 \cdot 1}{3 \cdot 2} s$

Step 5.2.2

Cancel the common factor.

$\frac{3 \cdot 1}{3 \cdot 2} s$

Step 5.2.3

Rewrite the expression.

$\frac{1}{2} s$

Step 6

Combine $\frac{1}{2}$ and $s$ .

$\frac{s}{2}$