Basic Math Examples

$3 \frac{1}{4} \cdot 4 \frac{1}{3}$

Step 1

Convert

$3 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

$(3 + \frac{1}{4}) \cdot 4 \frac{1}{3}$

Step 1.2

Add

$3$ and

$\frac{1}{4}$ .

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Step 1.2.1

To write

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

$\frac{4}{4}$ .

$(3 \cdot \frac{4}{4} + \frac{1}{4}) \cdot 4 \frac{1}{3}$

Step 1.2.2

Combine

$3$ and

$\frac{4}{4}$ .

$(\frac{3 \cdot 4}{4} + \frac{1}{4}) \cdot 4 \frac{1}{3}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{3 \cdot 4 + 1}{4} \cdot 4 \frac{1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$3$ by

$4$ .

$\frac{12 + 1}{4} \cdot 4 \frac{1}{3}$

Step 1.2.4.2

Add

$12$ and

$1$ .

$\frac{13}{4} \cdot 4 \frac{1}{3}$

Step 2

Convert

$4 \frac{1}{3}$ to an improper fraction.

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Step 2.1

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

$\frac{13}{4} \cdot (4 + \frac{1}{3})$

Step 2.2

Add

$4$ and

$\frac{1}{3}$ .

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Step 2.2.1

To write

$4$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{13}{4} \cdot (4 \cdot \frac{3}{3} + \frac{1}{3})$

Step 2.2.2

Combine

$4$ and

$\frac{3}{3}$ .

$\frac{13}{4} \cdot (\frac{4 \cdot 3}{3} + \frac{1}{3})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{13}{4} \cdot \frac{4 \cdot 3 + 1}{3}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$4$ by

$3$ .

$\frac{13}{4} \cdot \frac{12 + 1}{3}$

Step 2.2.4.2

Add

$12$ and

$1$ .

$\frac{13}{4} \cdot \frac{13}{3}$

Step 3

Multiply

$\frac{13}{4} \cdot \frac{13}{3}$ .

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Step 3.1

Multiply

$\frac{13}{4}$ by

$\frac{13}{3}$ .

$\frac{13 \cdot 13}{4 \cdot 3}$

Step 3.2

Multiply

$13$ by

$13$ .

$\frac{169}{4 \cdot 3}$

Step 3.3

Multiply

$4$ by

$3$ .

$\frac{169}{12}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{169}{12}$

Decimal Form:

$14.08\overline{3}$

Mixed Number Form:

$14 \frac{1}{12}$