Basic Math Examples

2 \frac{1}{4} \cdot 2 \frac{1}{4}

$2 \frac{1}{4} \cdot 2 \frac{1}{4}$

Step 1

Convert

2 \frac{1}{4}

$2 \frac{1}{4}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

(2 + \frac{1}{4}) \cdot 2 \frac{1}{4}

$(2 + \frac{1}{4}) \cdot 2 \frac{1}{4}$

Step 1.2

Add

2

$2$ and

\frac{1}{4}

$\frac{1}{4}$ .

Tap for more steps...

Step 1.2.1

To write

2

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

\frac{4}{4}

$\frac{4}{4}$ .

(2 \cdot \frac{4}{4} + \frac{1}{4}) \cdot 2 \frac{1}{4}

$(2 \cdot \frac{4}{4} + \frac{1}{4}) \cdot 2 \frac{1}{4}$

Step 1.2.2

Combine

2

$2$ and

\frac{4}{4}

$\frac{4}{4}$ .

(\frac{2 \cdot 4}{4} + \frac{1}{4}) \cdot 2 \frac{1}{4}

$(\frac{2 \cdot 4}{4} + \frac{1}{4}) \cdot 2 \frac{1}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 4 + 1}{4} \cdot 2 \frac{1}{4}

$\frac{2 \cdot 4 + 1}{4} \cdot 2 \frac{1}{4}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

2

$2$ by

4

$4$ .

\frac{8 + 1}{4} \cdot 2 \frac{1}{4}

$\frac{8 + 1}{4} \cdot 2 \frac{1}{4}$

Step 1.2.4.2

Add

8

$8$ and

1

$1$ .

\frac{9}{4} \cdot 2 \frac{1}{4}

$\frac{9}{4} \cdot 2 \frac{1}{4}$

\frac{9}{4} \cdot 2 \frac{1}{4}

$\frac{9}{4} \cdot 2 \frac{1}{4}$

\frac{9}{4} \cdot 2 \frac{1}{4}

$\frac{9}{4} \cdot 2 \frac{1}{4}$

\frac{9}{4} \cdot 2 \frac{1}{4}

$\frac{9}{4} \cdot 2 \frac{1}{4}$

Step 2

Convert

2 \frac{1}{4}

$2 \frac{1}{4}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

\frac{9}{4} \cdot (2 + \frac{1}{4})

$\frac{9}{4} \cdot (2 + \frac{1}{4})$

Step 2.2

Add

2

$2$ and

\frac{1}{4}

$\frac{1}{4}$ .

Tap for more steps...

Step 2.2.1

To write

2

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

\frac{4}{4}

$\frac{4}{4}$ .

\frac{9}{4} \cdot (2 \cdot \frac{4}{4} + \frac{1}{4})

$\frac{9}{4} \cdot (2 \cdot \frac{4}{4} + \frac{1}{4})$

Step 2.2.2

Combine

2

$2$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{9}{4} \cdot (\frac{2 \cdot 4}{4} + \frac{1}{4})

$\frac{9}{4} \cdot (\frac{2 \cdot 4}{4} + \frac{1}{4})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{9}{4} \cdot \frac{2 \cdot 4 + 1}{4}

$\frac{9}{4} \cdot \frac{2 \cdot 4 + 1}{4}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

2

$2$ by

4

$4$ .

\frac{9}{4} \cdot \frac{8 + 1}{4}

$\frac{9}{4} \cdot \frac{8 + 1}{4}$

Step 2.2.4.2

Add

8

$8$ and

1

$1$ .

\frac{9}{4} \cdot \frac{9}{4}

$\frac{9}{4} \cdot \frac{9}{4}$

\frac{9}{4} \cdot \frac{9}{4}

$\frac{9}{4} \cdot \frac{9}{4}$

\frac{9}{4} \cdot \frac{9}{4}

$\frac{9}{4} \cdot \frac{9}{4}$

\frac{9}{4} \cdot \frac{9}{4}

$\frac{9}{4} \cdot \frac{9}{4}$

Step 3

Multiply

\frac{9}{4} \cdot \frac{9}{4}

$\frac{9}{4} \cdot \frac{9}{4}$ .

Tap for more steps...

Step 3.1

Multiply

\frac{9}{4}

$\frac{9}{4}$ by

\frac{9}{4}

$\frac{9}{4}$ .

\frac{9 \cdot 9}{4 \cdot 4}

$\frac{9 \cdot 9}{4 \cdot 4}$

Step 3.2

Multiply

9

$9$ by

9

$9$ .

\frac{81}{4 \cdot 4}

$\frac{81}{4 \cdot 4}$

Step 3.3

Multiply

4

$4$ by

4

$4$ .

\frac{81}{16}

$\frac{81}{16}$

\frac{81}{16}

$\frac{81}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{81}{16}

$\frac{81}{16}$

Decimal Form:

5.0625

$5.0625$

Mixed Number Form:

5 \frac{1}{16}

$5 \frac{1}{16}$