Pre-Algebra Examples

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

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.

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

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.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $4$ and $1$ .

$\frac{5}{4} + \frac{1}{2}$

Step 2

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{5}{4} + \frac{1}{2} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 3.1

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

$\frac{5}{4} + \frac{2}{2 \cdot 2}$

Step 3.2

Multiply $2$ by $2$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Add $5$ and $2$ .

$\frac{7}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{4}$

Decimal Form:

$1.75$

Mixed Number Form:

$1 \frac{3}{4}$