Pre-Algebra Examples

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

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.

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

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.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $4$ and $1$ .

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

Step 2

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

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Add $4$ and $5$ .

$\frac{9}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{4}$

Decimal Form:

$2.25$

Mixed Number Form:

$2 \frac{1}{4}$