Trigonometry Examples

$2 \frac{1}{8} = \frac{17}{8}$

Step 1

Simplify the left side.

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Step 1.1

Convert $2 \frac{1}{8}$ to an improper fraction.

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Step 1.1.1

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

$2 + \frac{1}{8} = \frac{17}{8}$

Step 1.1.2

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

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Step 1.1.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$2 \cdot \frac{8}{8} + \frac{1}{8} = \frac{17}{8}$

Step 1.1.2.2

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

$\frac{2 \cdot 8}{8} + \frac{1}{8} = \frac{17}{8}$

Step 1.1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 8 + 1}{8} = \frac{17}{8}$

Step 1.1.2.4

Simplify the numerator.

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Step 1.1.2.4.1

Multiply $2$ by $8$ .

$\frac{16 + 1}{8} = \frac{17}{8}$

Step 1.1.2.4.2

Add $16$ and $1$ .

$\frac{17}{8} = \frac{17}{8}$

Step 2

Since $\frac{17}{8} = \frac{17}{8}$ , the equation will always be true.

Always true