Basic Math Examples

$2 \frac{2}{3} \cdot 1 \frac{3}{8}$

Step 1

Convert

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

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Step 1.1

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

$(2 + \frac{2}{3}) \cdot 1 \frac{3}{8}$

Step 1.2

Add

$2$ and

$\frac{2}{3}$ .

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Step 1.2.1

To write

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

$\frac{3}{3}$ .

$(2 \cdot \frac{3}{3} + \frac{2}{3}) \cdot 1 \frac{3}{8}$

Step 1.2.2

Combine

$2$ and

$\frac{3}{3}$ .

$(\frac{2 \cdot 3}{3} + \frac{2}{3}) \cdot 1 \frac{3}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 3 + 2}{3} \cdot 1 \frac{3}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$3$ .

$\frac{6 + 2}{3} \cdot 1 \frac{3}{8}$

Step 1.2.4.2

Add

$6$ and

$2$ .

$\frac{8}{3} \cdot 1 \frac{3}{8}$

Step 2

Convert

$1 \frac{3}{8}$ to an improper fraction.

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Step 2.1

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

$\frac{8}{3} \cdot (1 + \frac{3}{8})$

Step 2.2

Add

$1$ and

$\frac{3}{8}$ .

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Step 2.2.1

Write

$1$ as a fraction with a common denominator.

$\frac{8}{3} \cdot (\frac{8}{8} + \frac{3}{8})$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{8}{3} \cdot \frac{8 + 3}{8}$

Step 2.2.3

Add

$8$ and

$3$ .

$\frac{8}{3} \cdot \frac{11}{8}$

Step 3

Cancel the common factor of

$8$ .

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Step 3.1

Cancel the common factor.

$\frac{8}{3} \cdot \frac{11}{8}$

Step 3.2

Rewrite the expression.

$\frac{1}{3} \cdot 11$

Step 4

Combine

$\frac{1}{3}$ and

$11$ .

$\frac{11}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{3}$

Decimal Form:

$3.\overline{6}$

Mixed Number Form:

$3 \frac{2}{3}$