Algebra Examples

$7 - \frac{5}{6} \cdot 7 - \frac{7}{6}$

Step 1

Simplify each term.

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Step 1.1

Multiply $- \frac{5}{6} \cdot 7$ .

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Step 1.1.1

Multiply $7$ by $- 1$ .

$7 - 7 (\frac{5}{6}) - \frac{7}{6}$

Step 1.1.2

Combine $- 7$ and $\frac{5}{6}$ .

$7 + \frac{- 7 \cdot 5}{6} - \frac{7}{6}$

Step 1.1.3

Multiply $- 7$ by $5$ .

$7 + \frac{- 35}{6} - \frac{7}{6}$

$7 + \frac{- 35}{6} - \frac{7}{6}$

Step 1.2

Move the negative in front of the fraction.

$7 - \frac{35}{6} - \frac{7}{6}$

$7 - \frac{35}{6} - \frac{7}{6}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$7 + \frac{- 35 - 7}{6}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $7$ from $- 35$ .

$7 + \frac{- 42}{6}$

Step 2.2.2

Divide $- 42$ by $6$ .

$7 - 7$

Step 2.2.3

Subtract $7$ from $7$ .

$0$

$0$

$0$

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