Basic Math Examples

$\frac{1440 ({1.92}^{2}) (0.5) (0.5)}{(1440 - 1) {(0.05)}^{2} + {(1.96)}^{2} (0.5) (0.5)}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $0.5$ by $1440$ .

$\frac{720 \cdot {1.92}^{2} \cdot 0.5}{(1440 - 1) \cdot {0.05}^{2} + {1.96}^{2} \cdot 0.5 \cdot 0.5}$

Step 1.2

Multiply $720$ by ${1.92}^{2}$ .

$\frac{2654.208 \cdot 0.5}{(1440 - 1) \cdot {0.05}^{2} + {1.96}^{2} \cdot 0.5 \cdot 0.5}$

Step 1.3

Multiply $2654.208$ by $0.5$ .

$\frac{1327.104}{(1440 - 1) \cdot {0.05}^{2} + {1.96}^{2} \cdot 0.5 \cdot 0.5}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $1$ from $1440$ .

$\frac{1327.104}{1439 \cdot {0.05}^{2} + {1.96}^{2} \cdot 0.5 \cdot 0.5}$

Step 2.2

Raise $0.05$ to the power of $2$ .

$\frac{1327.104}{1439 \cdot 0.0025 + {1.96}^{2} \cdot 0.5 \cdot 0.5}$

Step 2.3

Multiply $1439$ by $0.0025$ .

$\frac{1327.104}{3.5975 + {1.96}^{2} \cdot 0.5 \cdot 0.5}$

Step 2.4

Raise $1.96$ to the power of $2$ .

$\frac{1327.104}{3.5975 + 3.8416 \cdot 0.5 \cdot 0.5}$

Step 2.5

Multiply $3.8416 \cdot 0.5 \cdot 0.5$ .

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Step 2.5.1

Multiply $3.8416$ by $0.5$ .

$\frac{1327.104}{3.5975 + 1.9208 \cdot 0.5}$

Step 2.5.2

Multiply $1.9208$ by $0.5$ .

$\frac{1327.104}{3.5975 + 0.9604}$

Step 2.6

Add $3.5975$ and $0.9604$ .

$\frac{1327.104}{4.5579}$

Step 3

Divide $1327.104$ by $4.5579$ .

$291.16566839$