Basic Math Examples

${(1 \frac{1}{4})}^{2}$

Step 1

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

Tap for more steps...

Step 1.1

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

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

Step 1.2

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

Tap for more steps...

Step 1.2.1

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $4$ and $1$ .

${(\frac{5}{4})}^{2}$

Step 2

Apply the product rule to $\frac{5}{4}$ .

$\frac{5^{2}}{4^{2}}$

Step 3

Raise $5$ to the power of $2$ .

$\frac{25}{4^{2}}$

Step 4

Raise $4$ to the power of $2$ .

$\frac{25}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{16}$

Decimal Form:

$1.5625$

Mixed Number Form:

$1 \frac{9}{16}$