Basic Math Examples

$r = \frac{50 \cdot 101688 - 642.7831}{(50 (8526) - {(642)}^{2}) (50 (1238333.5) - {(7831)}^{2})}$

Step 1

Remove parentheses.

$r = \frac{50 \cdot 101688 - 642.7831}{(50 (8526) - 642^{2}) (50 (1238333.5) - {(7831)}^{2})}$

Step 2

Remove parentheses.

$r = \frac{50 \cdot 101688 - 642.7831}{(50 (8526) - 642^{2}) (50 (1238333.5) - 7831^{2})}$

Step 3

Simplify $\frac{50 \cdot 101688 - 642.7831}{(50 (8526) - 642^{2}) (50 (1238333.5) - 7831^{2})}$ .

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Step 3.1

Simplify the numerator.

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Step 3.1.1

Multiply $50$ by $101688$ .

$r = \frac{5084400 - 642.7831}{(50 (8526) - 642^{2}) (50 (1238333.5) - 7831^{2})}$

Step 3.1.2

Subtract $642.7831$ from $5084400$ .

$r = \frac{5083757.2169}{(50 (8526) - 642^{2}) (50 (1238333.5) - 7831^{2})}$

Step 3.2

Simplify the denominator.

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Step 3.2.1

Multiply $50$ by $8526$ .

$r = \frac{5083757.2169}{(426300 - 642^{2}) (50 (1238333.5) - 7831^{2})}$

Step 3.2.2

Raise $642$ to the power of $2$ .

$r = \frac{5083757.2169}{(426300 - 1 \cdot 412164) (50 (1238333.5) - 7831^{2})}$

Step 3.2.3

Multiply $- 1$ by $412164$ .

$r = \frac{5083757.2169}{(426300 - 412164) (50 (1238333.5) - 7831^{2})}$

Step 3.2.4

Subtract $412164$ from $426300$ .

$r = \frac{5083757.2169}{14136 (50 (1238333.5) - 7831^{2})}$

Step 3.2.5

Multiply $50$ by $1238333.5$ .

$r = \frac{5083757.2169}{14136 (61916675 - 7831^{2})}$

Step 3.2.6

Raise $7831$ to the power of $2$ .

$r = \frac{5083757.2169}{14136 (61916675 - 1 \cdot 61324561)}$

Step 3.2.7

Multiply $- 1$ by $61324561$ .

$r = \frac{5083757.2169}{14136 (61916675 - 61324561)}$

Step 3.2.8

Subtract $61324561$ from $61916675$ .

$r = \frac{5083757.2169}{14136 \cdot 592114}$

Step 3.3

Simplify the expression.

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Step 3.3.1

Multiply $14136$ by $592114$ .

$r = \frac{5083757.2169}{8370123504}$

Step 3.3.2

Divide $5083757.2169$ by $8370123504$ .

$r = 0.00060736$