Basic Math Examples

$\frac{1}{2} + \frac{3}{5} + \frac{8}{16}$

Step 1

Find the common denominator.

Tap for more steps...

Step 1.1

Multiply $\frac{1}{2}$ by $\frac{40}{40}$ .

$\frac{1}{2} \cdot \frac{40}{40} + \frac{3}{5} + \frac{8}{16}$

Step 1.2

Multiply $\frac{1}{2}$ by $\frac{40}{40}$ .

$\frac{40}{2 \cdot 40} + \frac{3}{5} + \frac{8}{16}$

Step 1.3

Multiply $\frac{3}{5}$ by $\frac{16}{16}$ .

$\frac{40}{2 \cdot 40} + \frac{3}{5} \cdot \frac{16}{16} + \frac{8}{16}$

Step 1.4

Multiply $\frac{3}{5}$ by $\frac{16}{16}$ .

$\frac{40}{2 \cdot 40} + \frac{3 \cdot 16}{5 \cdot 16} + \frac{8}{16}$

Step 1.5

Multiply $\frac{8}{16}$ by $\frac{5}{5}$ .

$\frac{40}{2 \cdot 40} + \frac{3 \cdot 16}{5 \cdot 16} + \frac{8}{16} \cdot \frac{5}{5}$

Step 1.6

Multiply $\frac{8}{16}$ by $\frac{5}{5}$ .

$\frac{40}{2 \cdot 40} + \frac{3 \cdot 16}{5 \cdot 16} + \frac{8 \cdot 5}{16 \cdot 5}$

Step 1.7

Multiply $2$ by $40$ .

$\frac{40}{80} + \frac{3 \cdot 16}{5 \cdot 16} + \frac{8 \cdot 5}{16 \cdot 5}$

Step 1.8

Multiply $5$ by $16$ .

$\frac{40}{80} + \frac{3 \cdot 16}{80} + \frac{8 \cdot 5}{16 \cdot 5}$

Step 1.9

Reorder the factors of $16 \cdot 5$ .

$\frac{40}{80} + \frac{3 \cdot 16}{80} + \frac{8 \cdot 5}{5 \cdot 16}$

Step 1.10

Multiply $5$ by $16$ .

$\frac{40}{80} + \frac{3 \cdot 16}{80} + \frac{8 \cdot 5}{80}$

Step 2

Combine the numerators over the common denominator.

$\frac{40 + 3 \cdot 16 + 8 \cdot 5}{80}$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Multiply $3$ by $16$ .

$\frac{40 + 48 + 8 \cdot 5}{80}$

Step 3.2

Multiply $8$ by $5$ .

$\frac{40 + 48 + 40}{80}$

Step 4

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 4.1

Add $40$ and $48$ .

$\frac{88 + 40}{80}$

Step 4.2

Add $88$ and $40$ .

$\frac{128}{80}$

Step 4.3

Cancel the common factor of $128$ and $80$ .

Tap for more steps...

Step 4.3.1

Factor $16$ out of $128$ .

$\frac{16 (8)}{80}$

Step 4.3.2

Cancel the common factors.

Tap for more steps...

Step 4.3.2.1

Factor $16$ out of $80$ .

$\frac{16 \cdot 8}{16 \cdot 5}$

Step 4.3.2.2

Cancel the common factor.

$\frac{16 \cdot 8}{16 \cdot 5}$

Step 4.3.2.3

Rewrite the expression.

$\frac{8}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{5}$

Decimal Form:

$1.6$

Mixed Number Form:

$1 \frac{3}{5}$