Basic Math Examples

$6 (\frac{1}{6}) - 4 (\frac{5}{6})$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $6$ .

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Step 1.1.1

Cancel the common factor.

$6 (\frac{1}{6}) - 4 (\frac{5}{6})$

Step 1.1.2

Rewrite the expression.

$1 - 4 (\frac{5}{6})$

$1 - 4 (\frac{5}{6})$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $- 4$ .

$1 + 2 (- 2) \frac{5}{6}$

Step 1.2.2

Factor $2$ out of $6$ .

$1 + 2 \cdot - 2 \frac{5}{2 \cdot 3}$

Step 1.2.3

Cancel the common factor.

$1 + 2 \cdot - 2 \frac{5}{2 \cdot 3}$

Step 1.2.4

Rewrite the expression.

$1 - 2 (\frac{5}{3})$

$1 - 2 (\frac{5}{3})$

Step 1.3

Combine $- 2$ and $\frac{5}{3}$ .

$1 + \frac{- 2 \cdot 5}{3}$

Step 1.4

Multiply $- 2$ by $5$ .

$1 + \frac{- 10}{3}$

Step 1.5

Move the negative in front of the fraction.

$1 - \frac{10}{3}$

$1 - \frac{10}{3}$

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$\frac{3}{3} - \frac{10}{3}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{3 - 10}{3}$

Step 2.3

Subtract $10$ from $3$ .

$\frac{- 7}{3}$

Step 2.4

Move the negative in front of the fraction.

$- \frac{7}{3}$

$- \frac{7}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{3}$

Decimal Form:

$- 2.\overline{3}$

Mixed Number Form:

$- 2 \frac{1}{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$