Basic Math Examples

2 \frac{10}{200}

$2 \frac{10}{200}$

Step 1

Convert

2 \frac{10}{200}

$2 \frac{10}{200}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

2 + \frac{10}{200}

$2 + \frac{10}{200}$

Step 1.2

Add

2

$2$ and

\frac{10}{200}

$\frac{10}{200}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{200}{200}

$\frac{200}{200}$ .

2 \cdot \frac{200}{200} + \frac{10}{200}

$2 \cdot \frac{200}{200} + \frac{10}{200}$

Step 1.2.2

Combine

2

$2$ and

\frac{200}{200}

$\frac{200}{200}$ .

\frac{2 \cdot 200}{200} + \frac{10}{200}

$\frac{2 \cdot 200}{200} + \frac{10}{200}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 200 + 10}{200}

$\frac{2 \cdot 200 + 10}{200}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

200

$200$ .

\frac{400 + 10}{200}

$\frac{400 + 10}{200}$

Step 1.2.4.2

Add

400

$400$ and

10

$10$ .

\frac{410}{200}

$\frac{410}{200}$

\frac{410}{200}

$\frac{410}{200}$

\frac{410}{200}

$\frac{410}{200}$

\frac{410}{200}

$\frac{410}{200}$

Step 2

Cancel the common factor of

410

$410$ and

200

$200$ .

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Step 2.1

Factor

10

$10$ out of

410

$410$ .

\frac{10 (41)}{200}

$\frac{10 (41)}{200}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

10

$10$ out of

200

$200$ .

\frac{10 \cdot 41}{10 \cdot 20}

$\frac{10 \cdot 41}{10 \cdot 20}$

Step 2.2.2

Cancel the common factor.

$\frac{10 \cdot 41}{10 \cdot 20}$

Step 2.2.3

Rewrite the expression.

$\frac{41}{20}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{41}{20}$

Decimal Form:

$2.05$

Mixed Number Form:

$2 \frac{1}{20}$