Basic Math Examples

$\frac{- 10 \cdot 7 + 2 (7)}{- 4 - (- 2)}$

Step 1

Cancel the common factor of $- 10 \cdot 7 + 2 (7)$ and $- 4 - (- 2)$ .

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Step 1.1

Reorder terms.

$\frac{- 10 \cdot 7 + 2 (7)}{- 4 - 2 \cdot - 1}$

Step 1.2

Factor $2$ out of $- 10 \cdot 7$ .

$\frac{2 (- 5 \cdot 7) + 2 (7)}{- 4 - 2 \cdot - 1}$

Step 1.3

Factor $2$ out of $2 (- 5 \cdot 7) + 2 (7)$ .

$\frac{2 (- 5 \cdot 7 + 7)}{- 4 - 2 \cdot - 1}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $- 4$ .

$\frac{2 (- 5 \cdot 7 + 7)}{2 (- 2) - 2 \cdot - 1}$

Step 1.4.2

Factor $2$ out of $- 2 \cdot - 1$ .

$\frac{2 (- 5 \cdot 7 + 7)}{2 (- 2) + 2 (- - 1)}$

Step 1.4.3

Factor $2$ out of $2 (- 2) + 2 (- - 1)$ .

$\frac{2 (- 5 \cdot 7 + 7)}{2 (- 2 - - 1)}$

Step 1.4.4

Cancel the common factor.

$\frac{2 (- 5 \cdot 7 + 7)}{2 (- 2 - - 1)}$

Step 1.4.5

Rewrite the expression.

$\frac{- 5 \cdot 7 + 7}{- 2 - - 1}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $- 5$ by $7$ .

$\frac{- 35 + 7}{- 2 - - 1}$

Step 2.2

Add $- 35$ and $7$ .

$\frac{- 28}{- 2 - - 1}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply $- 1$ by $- 1$ .

$\frac{- 28}{- 2 + 1}$

Step 3.2

Add $- 2$ and $1$ .

$\frac{- 28}{- 1}$

Step 4

Divide $- 28$ by $- 1$ .

$28$