Trigonometry Examples

$\frac{\sqrt{3}}{2} = 25 \frac{1}{2}$

Step 1

Simplify the right side.

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Step 1.1

Convert $25 \frac{1}{2}$ to an improper fraction.

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Step 1.1.1

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

$\frac{\sqrt{3}}{2} = 25 + \frac{1}{2}$

Step 1.1.2

Add $25$ and $\frac{1}{2}$ .

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Step 1.1.2.1

To write $25$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\sqrt{3}}{2} = 25 \cdot \frac{2}{2} + \frac{1}{2}$

Step 1.1.2.2

Combine $25$ and $\frac{2}{2}$ .

$\frac{\sqrt{3}}{2} = \frac{25 \cdot 2}{2} + \frac{1}{2}$

Step 1.1.2.3

Combine the numerators over the common denominator.

$\frac{\sqrt{3}}{2} = \frac{25 \cdot 2 + 1}{2}$

Step 1.1.2.4

Simplify the numerator.

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Step 1.1.2.4.1

Multiply $25$ by $2$ .

$\frac{\sqrt{3}}{2} = \frac{50 + 1}{2}$

Step 1.1.2.4.2

Add $50$ and $1$ .

$\frac{\sqrt{3}}{2} = \frac{51}{2}$

Step 2

Since $\frac{\sqrt{3}}{2} \neq \frac{51}{2}$ , there are no solutions.

No solution