Basic Math Examples

1 \frac{2}{3} + 1 \frac{2}{3}

$1 \frac{2}{3} + 1 \frac{2}{3}$

Step 1

Convert

1 \frac{2}{3}

$1 \frac{2}{3}$ to an improper fraction.

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Step 1.1

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

1 + \frac{2}{3} + 1 \frac{2}{3}

$1 + \frac{2}{3} + 1 \frac{2}{3}$

Step 1.2

Add

1

$1$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{3}{3} + \frac{2}{3} + 1 \frac{2}{3}

$\frac{3}{3} + \frac{2}{3} + 1 \frac{2}{3}$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{3 + 2}{3} + 1 \frac{2}{3}

$\frac{3 + 2}{3} + 1 \frac{2}{3}$

Step 1.2.3

Add

3

$3$ and

2

$2$ .

\frac{5}{3} + 1 \frac{2}{3}

$\frac{5}{3} + 1 \frac{2}{3}$

\frac{5}{3} + 1 \frac{2}{3}

$\frac{5}{3} + 1 \frac{2}{3}$

\frac{5}{3} + 1 \frac{2}{3}

$\frac{5}{3} + 1 \frac{2}{3}$

Step 2

Convert

1 \frac{2}{3}

$1 \frac{2}{3}$ to an improper fraction.

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Step 2.1

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

\frac{5}{3} + 1 + \frac{2}{3}

$\frac{5}{3} + 1 + \frac{2}{3}$

Step 2.2

Add

1

$1$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 2.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{5}{3} + \frac{3}{3} + \frac{2}{3}

$\frac{5}{3} + \frac{3}{3} + \frac{2}{3}$

Step 2.2.2

Combine the numerators over the common denominator.

\frac{5}{3} + \frac{3 + 2}{3}

$\frac{5}{3} + \frac{3 + 2}{3}$

Step 2.2.3

Add

3

$3$ and

2

$2$ .

\frac{5}{3} + \frac{5}{3}

$\frac{5}{3} + \frac{5}{3}$

\frac{5}{3} + \frac{5}{3}

$\frac{5}{3} + \frac{5}{3}$

\frac{5}{3} + \frac{5}{3}

$\frac{5}{3} + \frac{5}{3}$

Step 3

Combine the numerators over the common denominator.

\frac{5 + 5}{3}

$\frac{5 + 5}{3}$

Step 4

Add

5

$5$ and

5

$5$ .

\frac{10}{3}

$\frac{10}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{10}{3}

$\frac{10}{3}$

Decimal Form:

3.\overline{3}

$3.\overline{3}$

Mixed Number Form:

3 \frac{1}{3}

$3 \frac{1}{3}$