Basic Math Examples

$(1 \frac{1}{4}) (1 \frac{1}{4})$

Step 1

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

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Step 1.1

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

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

Step 1.2

Add $1$ and $\frac{1}{4}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $4$ and $1$ .

$\frac{5}{4} (1 \frac{1}{4})$

Step 2

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

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Step 2.1

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

$\frac{5}{4} (1 + \frac{1}{4})$

Step 2.2

Add $1$ and $\frac{1}{4}$ .

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Step 2.2.1

Write $1$ as a fraction with a common denominator.

$\frac{5}{4} (\frac{4}{4} + \frac{1}{4})$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{5}{4} \cdot \frac{4 + 1}{4}$

Step 2.2.3

Add $4$ and $1$ .

$\frac{5}{4} \cdot \frac{5}{4}$

Step 3

Multiply $\frac{5}{4} \cdot \frac{5}{4}$ .

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Step 3.1

Multiply $\frac{5}{4}$ by $\frac{5}{4}$ .

$\frac{5 \cdot 5}{4 \cdot 4}$

Step 3.2

Multiply $5$ by $5$ .

$\frac{25}{4 \cdot 4}$

Step 3.3

Multiply $4$ by $4$ .

$\frac{25}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{16}$

Decimal Form:

$1.5625$

Mixed Number Form:

$1 \frac{9}{16}$