Pre-Algebra Examples

$\frac{480 {(1.96)}^{2} (0.5) (0.5)}{(480 - 1) {(0.05)}^{2} + (0.5) (0.5)}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $0.5$ by $480$ .

$\frac{240 \cdot {1.96}^{2} \cdot 0.5}{(480 - 1) \cdot {0.05}^{2} + (0.5) (0.5)}$

Step 1.2

Multiply $240$ by ${1.96}^{2}$ .

$\frac{921.984 \cdot 0.5}{(480 - 1) \cdot {0.05}^{2} + (0.5) (0.5)}$

Step 1.3

Multiply $921.984$ by $0.5$ .

$\frac{460.992}{(480 - 1) \cdot {0.05}^{2} + (0.5) (0.5)}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $1$ from $480$ .

$\frac{460.992}{479 \cdot {0.05}^{2} + (0.5) (0.5)}$

Step 2.2

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

$\frac{460.992}{479 \cdot 0.0025 + (0.5) (0.5)}$

Step 2.3

Multiply $479$ by $0.0025$ .

$\frac{460.992}{1.1975 + (0.5) (0.5)}$

Step 2.4

Multiply $0.5$ by $0.5$ .

$\frac{460.992}{1.1975 + 0.25}$

Step 2.5

Add $1.1975$ and $0.25$ .

$\frac{460.992}{1.4475}$

Step 3

Divide $460.992$ by $1.4475$ .

$318.47461139$