Basic Math Examples

$\frac{1}{2} + 1 \frac{1}{2} + 1 \frac{3}{4} + \frac{1}{2}$

Step 1

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

Tap for more steps...

Step 1.1

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

$\frac{1}{2} + 1 + \frac{1}{2} + 1 \frac{3}{4} + \frac{1}{2}$

Step 1.2

Add $1$ and $\frac{1}{2}$ .

Tap for more steps...

Step 1.2.1

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

$\frac{1}{2} + \frac{2}{2} + \frac{1}{2} + 1 \frac{3}{4} + \frac{1}{2}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{1}{2} + \frac{2 + 1}{2} + 1 \frac{3}{4} + \frac{1}{2}$

Step 1.2.3

Add $2$ and $1$ .

$\frac{1}{2} + \frac{3}{2} + 1 \frac{3}{4} + \frac{1}{2}$

Step 2

Convert $1 \frac{3}{4}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$\frac{1}{2} + \frac{3}{2} + 1 + \frac{3}{4} + \frac{1}{2}$

Step 2.2

Add $1$ and $\frac{3}{4}$ .

Tap for more steps...

Step 2.2.1

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

$\frac{1}{2} + \frac{3}{2} + \frac{4}{4} + \frac{3}{4} + \frac{1}{2}$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{1}{2} + \frac{3}{2} + \frac{4 + 3}{4} + \frac{1}{2}$

Step 2.2.3

Add $4$ and $3$ .

$\frac{1}{2} + \frac{3}{2} + \frac{7}{4} + \frac{1}{2}$

Step 3

Combine the numerators over the common denominator.

$\frac{1 + 3 + 1}{2} + \frac{7}{4}$

Step 4

Simplify by adding numbers.

Tap for more steps...

Step 4.1

Add $1$ and $3$ .

$\frac{4 + 1}{2} + \frac{7}{4}$

Step 4.2

Add $4$ and $1$ .

$\frac{5}{2} + \frac{7}{4}$

Step 5

To write $\frac{5}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{5}{2} \cdot \frac{2}{2} + \frac{7}{4}$

Step 6

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

Tap for more steps...

Step 6.1

Multiply $\frac{5}{2}$ by $\frac{2}{2}$ .

$\frac{5 \cdot 2}{2 \cdot 2} + \frac{7}{4}$

Step 6.2

Multiply $2$ by $2$ .

$\frac{5 \cdot 2}{4} + \frac{7}{4}$

Step 7

Combine the numerators over the common denominator.

$\frac{5 \cdot 2 + 7}{4}$

Step 8

Simplify the numerator.

Tap for more steps...

Step 8.1

Multiply $5$ by $2$ .

$\frac{10 + 7}{4}$

Step 8.2

Add $10$ and $7$ .

$\frac{17}{4}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{4}$

Decimal Form:

$4.25$

Mixed Number Form:

$4 \frac{1}{4}$