Basic Math Examples

$\frac{- 32 {(350)}^{2}}{120^{2}} + 350$

Step 1

Simplify each term.

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Step 1.1

Raise $350$ to the power of $2$ .

$\frac{- 32 \cdot 122500}{120^{2}} + 350$

Step 1.2

Raise $120$ to the power of $2$ .

$\frac{- 32 \cdot 122500}{14400} + 350$

Step 1.3

Multiply $- 32$ by $122500$ .

$\frac{- 3920000}{14400} + 350$

Step 1.4

Cancel the common factor of $- 3920000$ and $14400$ .

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Step 1.4.1

Factor $1600$ out of $- 3920000$ .

$\frac{1600 (- 2450)}{14400} + 350$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $1600$ out of $14400$ .

$\frac{1600 \cdot - 2450}{1600 \cdot 9} + 350$

Step 1.4.2.2

Cancel the common factor.

$\frac{1600 \cdot - 2450}{1600 \cdot 9} + 350$

Step 1.4.2.3

Rewrite the expression.

$\frac{- 2450}{9} + 350$

Step 1.5

Move the negative in front of the fraction.

$- \frac{2450}{9} + 350$

Step 2

To write $350$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$- \frac{2450}{9} + 350 \cdot \frac{9}{9}$

Step 3

Combine $350$ and $\frac{9}{9}$ .

$- \frac{2450}{9} + \frac{350 \cdot 9}{9}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 2450 + 350 \cdot 9}{9}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $350$ by $9$ .

$\frac{- 2450 + 3150}{9}$

Step 5.2

Add $- 2450$ and $3150$ .

$\frac{700}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{700}{9}$

Decimal Form:

$77.\overline{7}$

Mixed Number Form:

$77 \frac{7}{9}$