Basic Math Examples

$- (77 + 45) - (\frac{86}{56})$

Step 1

Simplify each term.

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Step 1.1

Add $77$ and $45$ .

$- 1 \cdot 122 - (\frac{86}{56})$

Step 1.2

Multiply $- 1$ by $122$ .

$- 122 - (\frac{86}{56})$

Step 1.3

Cancel the common factor of $86$ and $56$ .

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Step 1.3.1

Factor $2$ out of $86$ .

$- 122 - \frac{2 (43)}{56}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $2$ out of $56$ .

$- 122 - \frac{2 \cdot 43}{2 \cdot 28}$

Step 1.3.2.2

Cancel the common factor.

$- 122 - \frac{2 \cdot 43}{2 \cdot 28}$

Step 1.3.2.3

Rewrite the expression.

$- 122 - \frac{43}{28}$

Step 2

To write $- 122$ as a fraction with a common denominator, multiply by $\frac{28}{28}$ .

$- 122 \cdot \frac{28}{28} - \frac{43}{28}$

Step 3

Combine $- 122$ and $\frac{28}{28}$ .

$\frac{- 122 \cdot 28}{28} - \frac{43}{28}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 122 \cdot 28 - 43}{28}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 122$ by $28$ .

$\frac{- 3416 - 43}{28}$

Step 5.2

Subtract $43$ from $- 3416$ .

$\frac{- 3459}{28}$

Step 6

Move the negative in front of the fraction.

$- \frac{3459}{28}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{3459}{28}$

Decimal Form:

$- 123.53571428 \dots$

Mixed Number Form:

$- 123 \frac{15}{28}$