Pre-Algebra Examples

$\frac{59593 - 58910}{\frac{1500}{\sqrt{40}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(59593 - 58910) \frac{\sqrt{40}}{1500}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $40$ as $2^{2} \cdot 10$ .

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Step 2.1.1

Factor $4$ out of $40$ .

$(59593 - 58910) \frac{\sqrt{4 (10)}}{1500}$

Step 2.1.2

Rewrite $4$ as $2^{2}$ .

$(59593 - 58910) \frac{\sqrt{2^{2} \cdot 10}}{1500}$

Step 2.2

Pull terms out from under the radical.

$(59593 - 58910) \frac{2 \sqrt{10}}{1500}$

Step 3

Simplify terms.

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Step 3.1

Subtract $58910$ from $59593$ .

$683 \frac{2 \sqrt{10}}{1500}$

Step 3.2

Cancel the common factor of $2$ and $1500$ .

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Step 3.2.1

Factor $2$ out of $2 \sqrt{10}$ .

$683 \frac{2 (\sqrt{10})}{1500}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $2$ out of $1500$ .

$683 \frac{2 \sqrt{10}}{2 \cdot 750}$

Step 3.2.2.2

Cancel the common factor.

$683 \frac{2 \sqrt{10}}{2 \cdot 750}$

Step 3.2.2.3

Rewrite the expression.

$683 \frac{\sqrt{10}}{750}$

Step 3.3

Combine $683$ and $\frac{\sqrt{10}}{750}$ .

$\frac{683 \sqrt{10}}{750}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{683 \sqrt{10}}{750}$

Decimal Form:

$2.87978085 \dots$