Basic Math Examples

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

Step 1

Convert

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

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Step 1.1

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

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

Step 1.2

Add

$1$ and

$\frac{1}{2}$ .

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Step 1.2.1

Write

$1$ as a fraction with a common denominator.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add

$2$ and

$1$ .

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

Step 2

To write

$\frac{3}{2}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

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

Step 3

Write each expression with a common denominator of

$4$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{3}{2}$ by

$\frac{2}{2}$ .

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

Step 3.2

Multiply

$2$ by

$2$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$3$ by

$2$ .

$\frac{6 + 3}{4}$

Step 5.2

Add

$6$ and

$3$ .

$\frac{9}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{4}$

Decimal Form:

$2.25$

Mixed Number Form:

$2 \frac{1}{4}$