Basic Math Examples

$\frac{2}{3} + 0.6 + 2 \sqrt{4}$

Step 1

Find the common denominator.

Tap for more steps...

Step 1.1

Write $0.6$ as a fraction with denominator $1$ .

$\frac{2}{3} + \frac{0.6}{1} + 2 \sqrt{4}$

Step 1.2

Multiply $\frac{0.6}{1}$ by $\frac{3}{3}$ .

$\frac{2}{3} + \frac{0.6}{1} \cdot \frac{3}{3} + 2 \sqrt{4}$

Step 1.3

Multiply $\frac{0.6}{1}$ by $\frac{3}{3}$ .

$\frac{2}{3} + \frac{0.6 \cdot 3}{3} + 2 \sqrt{4}$

Step 1.4

Write $2 \sqrt{4}$ as a fraction with denominator $1$ .

$\frac{2}{3} + \frac{0.6 \cdot 3}{3} + \frac{2 \sqrt{4}}{1}$

Step 1.5

Multiply $\frac{2 \sqrt{4}}{1}$ by $\frac{3}{3}$ .

$\frac{2}{3} + \frac{0.6 \cdot 3}{3} + \frac{2 \sqrt{4}}{1} \cdot \frac{3}{3}$

Step 1.6

Multiply $\frac{2 \sqrt{4}}{1}$ by $\frac{3}{3}$ .

$\frac{2}{3} + \frac{0.6 \cdot 3}{3} + \frac{2 \sqrt{4} \cdot 3}{3}$

Step 2

Combine the numerators over the common denominator.

$\frac{2 + 0.6 \cdot 3 + 2 \sqrt{4} \cdot 3}{3}$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Multiply $0.6$ by $3$ .

$\frac{2 + 1.8 + 2 \sqrt{4} \cdot 3}{3}$

Step 3.2

Rewrite $4$ as $2^{2}$ .

$\frac{2 + 1.8 + 2 \sqrt{2^{2}} \cdot 3}{3}$

Step 3.3

Pull terms out from under the radical, assuming positive real numbers.

$\frac{2 + 1.8 + 2 \cdot 2 \cdot 3}{3}$

Step 3.4

Multiply $2 \cdot 2 \cdot 3$ .

Tap for more steps...

Step 3.4.1

Multiply $2$ by $2$ .

$\frac{2 + 1.8 + 4 \cdot 3}{3}$

Step 3.4.2

Multiply $4$ by $3$ .

$\frac{2 + 1.8 + 12}{3}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Add $2$ and $1.8$ .

$\frac{3.8 + 12}{3}$

Step 4.2

Add $3.8$ and $12$ .

$\frac{15.8}{3}$

Step 4.3

Divide $15.8$ by $3$ .

$5.2\overline{6}$