Basic Math Examples

$\frac{1}{2} \cdot (8 \cdot 2) \cdot (3 + 4 \frac{3}{4})$

Step 1

Remove unnecessary parentheses.

$\frac{1}{2} \cdot 8 \cdot 2 \cdot (3 + 4 \frac{3}{4})$

Step 2

Combine exponents.

Tap for more steps...

Step 2.1

Combine $\frac{1}{2}$ and $8$ .

$\frac{8}{2} \cdot 2 \cdot (3 + 4 \frac{3}{4})$

Step 2.2

Combine $\frac{8}{2}$ and $2$ .

$\frac{8 \cdot 2}{2} \cdot (3 + 4 \frac{3}{4})$

Step 2.3

Multiply $8$ by $2$ .

$\frac{16}{2} \cdot (3 + 4 \frac{3}{4})$

Step 3

Divide $16$ by $2$ .

$8 \cdot (3 + 4 \frac{3}{4})$

Step 4

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

Tap for more steps...

Step 4.1

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

$8 \cdot (3 + 4 + \frac{3}{4})$

Step 4.2

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

Tap for more steps...

Step 4.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$8 \cdot (3 + 4 \cdot \frac{4}{4} + \frac{3}{4})$

Step 4.2.2

Combine $4$ and $\frac{4}{4}$ .

$8 \cdot (3 + \frac{4 \cdot 4}{4} + \frac{3}{4})$

Step 4.2.3

Combine the numerators over the common denominator.

$8 \cdot (3 + \frac{4 \cdot 4 + 3}{4})$

Step 4.2.4

Simplify the numerator.

Tap for more steps...

Step 4.2.4.1

Multiply $4$ by $4$ .

$8 \cdot (3 + \frac{16 + 3}{4})$

Step 4.2.4.2

Add $16$ and $3$ .

$8 \cdot (3 + \frac{19}{4})$

Step 5

To write $3$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$8 \cdot (3 \cdot \frac{4}{4} + \frac{19}{4})$

Step 6

Combine $3$ and $\frac{4}{4}$ .

$8 \cdot (\frac{3 \cdot 4}{4} + \frac{19}{4})$

Step 7

Combine the numerators over the common denominator.

$8 \cdot \frac{3 \cdot 4 + 19}{4}$

Step 8

Simplify the numerator.

Tap for more steps...

Step 8.1

Multiply $3$ by $4$ .

$8 \cdot \frac{12 + 19}{4}$

Step 8.2

Add $12$ and $19$ .

$8 \cdot \frac{31}{4}$