Basic Math Examples

2 \frac{5}{7}

$2 \frac{5}{7}$

Step 1

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

2 + \frac{5}{7}

$2 + \frac{5}{7}$

Step 2

Add

2

$2$ and

\frac{5}{7}

$\frac{5}{7}$ .

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Step 2.1

To write

2

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

\frac{7}{7}

$\frac{7}{7}$ .

2 \cdot \frac{7}{7} + \frac{5}{7}

$2 \cdot \frac{7}{7} + \frac{5}{7}$

Step 2.2

Combine

2

$2$ and

\frac{7}{7}

$\frac{7}{7}$ .

\frac{2 \cdot 7}{7} + \frac{5}{7}

$\frac{2 \cdot 7}{7} + \frac{5}{7}$

Step 2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 7 + 5}{7}

$\frac{2 \cdot 7 + 5}{7}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

2

$2$ by

7

$7$ .

\frac{14 + 5}{7}

$\frac{14 + 5}{7}$

Step 2.4.2

Add

14

$14$ and

5

$5$ .

\frac{19}{7}

$\frac{19}{7}$

\frac{19}{7}

$\frac{19}{7}$

\frac{19}{7}

$\frac{19}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{19}{7}

$\frac{19}{7}$

Decimal Form:

2. ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 714285

$2.\overline{714285}$

Mixed Number Form:

2 \frac{5}{7}

$2 \frac{5}{7}$