Basic Math Examples

$1 + \sqrt{5} \div 3 - \sqrt{5}$

Step 1

Find the common denominator.

Tap for more steps...

Step 1.1

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

$\frac{1}{1} + \sqrt{5} \div 3 - \sqrt{5}$

Step 1.2

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

$\frac{1}{1} \cdot \frac{3}{3} + \sqrt{5} \div 3 - \sqrt{5}$

Step 1.3

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

$\frac{3}{3} + \sqrt{5} \div 3 - \sqrt{5}$

Step 1.4

Write $- \sqrt{5}$ as a fraction with denominator $1$ .

$\frac{3}{3} + \sqrt{5} \div 3 + \frac{- \sqrt{5}}{1}$

Step 1.5

Multiply $\frac{- \sqrt{5}}{1}$ by $\frac{3}{3}$ .

$\frac{3}{3} + \sqrt{5} \div 3 + \frac{- \sqrt{5}}{1} \cdot \frac{3}{3}$

Step 1.6

Multiply $\frac{- \sqrt{5}}{1}$ by $\frac{3}{3}$ .

$\frac{3}{3} + \sqrt{5} \div 3 + \frac{- \sqrt{5} \cdot 3}{3}$

Step 2

Combine the numerators over the common denominator.

$\frac{3 + \sqrt{5} - \sqrt{5} \cdot 3}{3}$

Step 3

Multiply $3$ by $- 1$ .

$\frac{3 + \sqrt{5} - 3 \sqrt{5}}{3}$

Step 4

Subtract $3 \sqrt{5}$ from $\sqrt{5}$ .

$\frac{3 - 2 \sqrt{5}}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3 - 2 \sqrt{5}}{3}$

Decimal Form:

$- 0.49071198 \dots$