Basic Math Examples

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

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

Step 1

Convert

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

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Step 1.1

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

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

Step 1.2

Add

$2$ and

$\frac{1}{3}$ .

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Step 1.2.1

To write

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

$\frac{3}{3}$ .

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

Step 1.2.2

Combine

$2$ and

$\frac{3}{3}$ .

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$3$ .

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

Step 1.2.4.2

Add

$6$ and

$1$ .

$\frac{7}{3} \cdot 3 \frac{1}{8}$

Step 2

Convert

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

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Step 2.1

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

$\frac{7}{3} \cdot (3 + \frac{1}{8})$

Step 2.2

Add

$3$ and

$\frac{1}{8}$ .

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Step 2.2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$\frac{7}{3} \cdot (3 \cdot \frac{8}{8} + \frac{1}{8})$

Step 2.2.2

Combine

$3$ and

$\frac{8}{8}$ .

$\frac{7}{3} \cdot (\frac{3 \cdot 8}{8} + \frac{1}{8})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{7}{3} \cdot \frac{3 \cdot 8 + 1}{8}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$3$ by

$8$ .

$\frac{7}{3} \cdot \frac{24 + 1}{8}$

Step 2.2.4.2

Add

$24$ and

$1$ .

$\frac{7}{3} \cdot \frac{25}{8}$

Step 3

Multiply

$\frac{7}{3} \cdot \frac{25}{8}$ .

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Step 3.1

Multiply

$\frac{7}{3}$ by

$\frac{25}{8}$ .

$\frac{7 \cdot 25}{3 \cdot 8}$

Step 3.2

Multiply

$7$ by

$25$ .

$\frac{175}{3 \cdot 8}$

Step 3.3

Multiply

$3$ by

$8$ .

$\frac{175}{24}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{175}{24}$

Decimal Form:

$7.291\overline{6}$

Mixed Number Form:

$7 \frac{7}{24}$