Basic Math Examples

$0.00000001 = \frac{G (53.8 (50))}{{(4)}^{2}}$

Step 1

Rewrite the equation as $\frac{G \cdot 53.8 \cdot 50}{4^{2}} = 0.00000001$ .

$\frac{G \cdot 53.8 \cdot 50}{4^{2}} = 0.00000001$

Step 2

Multiply both sides of the equation by $\frac{1}{53.8 \frac{50}{4^{2}}}$ .

$\frac{1}{53.8 \frac{50}{4^{2}}} \cdot \frac{G \cdot 53.8 \cdot 50}{4^{2}} = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{1}{53.8 \frac{50}{4^{2}}} \cdot \frac{G \cdot 53.8 \cdot 50}{4^{2}}$ .

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Step 3.1.1.1

Combine.

$\frac{1 (G \cdot 53.8 \cdot 50)}{53.8 \frac{50}{4^{2}} \cdot 4^{2}} = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3.1.1.2

Cancel the common factor of $53.8$ .

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Step 3.1.1.2.1

Cancel the common factor.

$\frac{1 (G \cdot 53.8 \cdot 50)}{53.8 \frac{50}{4^{2}} \cdot 4^{2}} = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3.1.1.2.2

Rewrite the expression.

$\frac{1 (G \cdot 50)}{\frac{50}{4^{2}} \cdot 4^{2}} = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3.1.1.3

Simplify the expression.

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Step 3.1.1.3.1

Raise $4$ to the power of $2$ .

$\frac{1 G \cdot 50}{\frac{50}{16} \cdot 4^{2}} = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3.1.1.3.2

Multiply $G$ by $1$ .

$\frac{G \cdot 50}{\frac{50}{16} \cdot 4^{2}} = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3.1.1.4

Combine $\frac{50}{16}$ and $4^{2}$ .

$\frac{G \cdot 50}{\frac{50 \cdot 4^{2}}{16}} = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3.1.1.5

Simplify the expression.

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Step 3.1.1.5.1

Raise $4$ to the power of $2$ .

$\frac{G \cdot 50}{\frac{50 \cdot 16}{16}} = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3.1.1.5.2

Multiply $50$ by $16$ .

$\frac{G \cdot 50}{\frac{800}{16}} = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3.1.1.5.3

Divide $800$ by $16$ .

$\frac{G \cdot 50}{50} = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3.1.1.6

Cancel the common factor of $50$ .

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Step 3.1.1.6.1

Cancel the common factor.

$\frac{G \cdot 50}{50} = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3.1.1.6.2

Divide $G$ by $1$ .

$G = \frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $\frac{1}{53.8 \frac{50}{4^{2}}} \cdot 0.00000001$ .

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Step 3.2.1.1

Raise $4$ to the power of $2$ .

$G = \frac{1}{53.8 (\frac{50}{16})} \cdot 0.00000001$

Step 3.2.1.2

Combine $53.8$ and $\frac{50}{16}$ .

$G = \frac{1}{\frac{53.8 \cdot 50}{16}} \cdot 0.00000001$

Step 3.2.1.3

Multiply $53.8$ by $50$ .

$G = \frac{1}{\frac{2690}{16}} \cdot 0.00000001$

Step 3.2.1.4

Cancel the common factor of $2690$ and $16$ .

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Step 3.2.1.4.1

Factor $2$ out of $2690$ .

$G = \frac{1}{\frac{2 (1345)}{16}} \cdot 0.00000001$

Step 3.2.1.4.2

Cancel the common factors.

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Step 3.2.1.4.2.1

Factor $2$ out of $16$ .

$G = \frac{1}{\frac{2 \cdot 1345}{2 \cdot 8}} \cdot 0.00000001$

Step 3.2.1.4.2.2

Cancel the common factor.

$G = \frac{1}{\frac{2 \cdot 1345}{2 \cdot 8}} \cdot 0.00000001$

Step 3.2.1.4.2.3

Rewrite the expression.

$G = \frac{1}{\frac{1345}{8}} \cdot 0.00000001$

Step 3.2.1.5

Multiply the numerator by the reciprocal of the denominator.

$G = 1 (\frac{8}{1345}) \cdot 0.00000001$

Step 3.2.1.6

Multiply $\frac{8}{1345}$ by $1$ .

$G = \frac{8}{1345} \cdot 0.00000001$

Step 3.2.1.7

Multiply $\frac{8}{1345} \cdot 0.00000001$ .

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Step 3.2.1.7.1

Combine $\frac{8}{1345}$ and $0.00000001$ .

$G = \frac{8 \cdot 0.00000001}{1345}$

Step 3.2.1.7.2

Multiply $8$ by $0.00000001$ .

$G = \frac{0.00000008}{1345}$

Step 3.2.1.8

Divide $0.00000008$ by $1345$ .

$G = 0$