Basic Math Examples

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

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

Step 1

Simplify each term.

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Step 1.1

Raise

350

$350$ to the power of

2

$2$ .

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

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

Step 1.2

Raise

120

$120$ to the power of

2

$2$ .

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

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

Step 1.3

Multiply

- 32

$- 32$ by

122500

$122500$ .

\frac{- 3920000}{14400} + 350

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

Step 1.4

Cancel the common factor of

- 3920000

$- 3920000$ and

14400

$14400$ .

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Step 1.4.1

Factor

1600

$1600$ out of

- 3920000

$- 3920000$ .

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

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

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor

1600

$1600$ out of

14400

$14400$ .

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

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

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.

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

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

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

Step 1.5

Move the negative in front of the fraction.

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

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

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

$3150$ .

$\frac{700}{9}$

$\frac{700}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{700}{9}$

Decimal Form:

$77.\overline{7}$

Mixed Number Form:

$77 \frac{7}{9}$

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