Basic Math Examples

$8 \frac{2}{3} \cdot 64 \frac{2}{3}$

Step 1

Convert $8 \frac{2}{3}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$(8 + \frac{2}{3}) \cdot 64 \frac{2}{3}$

Step 1.2

Add $8$ and $\frac{2}{3}$ .

Tap for more steps...

Step 1.2.1

To write $8$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(8 \cdot \frac{3}{3} + \frac{2}{3}) \cdot 64 \frac{2}{3}$

Step 1.2.2

Combine $8$ and $\frac{3}{3}$ .

$(\frac{8 \cdot 3}{3} + \frac{2}{3}) \cdot 64 \frac{2}{3}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{8 \cdot 3 + 2}{3} \cdot 64 \frac{2}{3}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $8$ by $3$ .

$\frac{24 + 2}{3} \cdot 64 \frac{2}{3}$

Step 1.2.4.2

Add $24$ and $2$ .

$\frac{26}{3} \cdot 64 \frac{2}{3}$

Step 2

Convert $64 \frac{2}{3}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$\frac{26}{3} \cdot (64 + \frac{2}{3})$

Step 2.2

Add $64$ and $\frac{2}{3}$ .

Tap for more steps...

Step 2.2.1

To write $64$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{26}{3} \cdot (64 \cdot \frac{3}{3} + \frac{2}{3})$

Step 2.2.2

Combine $64$ and $\frac{3}{3}$ .

$\frac{26}{3} \cdot (\frac{64 \cdot 3}{3} + \frac{2}{3})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{26}{3} \cdot \frac{64 \cdot 3 + 2}{3}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply $64$ by $3$ .

$\frac{26}{3} \cdot \frac{192 + 2}{3}$

Step 2.2.4.2

Add $192$ and $2$ .

$\frac{26}{3} \cdot \frac{194}{3}$

Step 3

Multiply $\frac{26}{3} \cdot \frac{194}{3}$ .

Tap for more steps...

Step 3.1

Multiply $\frac{26}{3}$ by $\frac{194}{3}$ .

$\frac{26 \cdot 194}{3 \cdot 3}$

Step 3.2

Multiply $26$ by $194$ .

$\frac{5044}{3 \cdot 3}$

Step 3.3

Multiply $3$ by $3$ .

$\frac{5044}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5044}{9}$

Decimal Form:

$560.\overline{4}$

Mixed Number Form:

$560 \frac{4}{9}$