Basic Math Examples

$\frac{35}{200} = \frac{a}{100}$

Step 1

Rewrite the equation as $\frac{a}{100} = \frac{35}{200}$ .

$\frac{a}{100} = \frac{35}{200}$

Step 2

Multiply both sides of the equation by $100$ .

$100 \frac{a}{100} = 100 (\frac{35}{200})$

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

Cancel the common factor of $100$ .

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Step 3.1.1.1

Cancel the common factor.

$100 \frac{a}{100} = 100 (\frac{35}{200})$

Step 3.1.1.2

Rewrite the expression.

$a = 100 (\frac{35}{200})$

$a = 100 (\frac{35}{200})$

$a = 100 (\frac{35}{200})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Cancel the common factor of $100$ .

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Step 3.2.1.1

Factor $100$ out of $200$ .

$a = 100 \frac{35}{100 (2)}$

Step 3.2.1.2

Cancel the common factor.

$a = 100 \frac{35}{100 \cdot 2}$

Step 3.2.1.3

Rewrite the expression.

$a = \frac{35}{2}$

$a = \frac{35}{2}$

$a = \frac{35}{2}$

$a = \frac{35}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = \frac{35}{2}$

Decimal Form:

$a = 17.5$

Mixed Number Form:

$a = 17 \frac{1}{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$