Trigonometry Examples

$\frac{4}{31} = \frac{y}{8}$

Step 1

Multiply both sides by $8$ .

$\frac{4}{31} \cdot 8 = \frac{y}{8} \cdot 8$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Multiply $\frac{4}{31} \cdot 8$ .

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Step 2.1.1.1

Combine $\frac{4}{31}$ and $8$ .

$\frac{4 \cdot 8}{31} = \frac{y}{8} \cdot 8$

Step 2.1.1.2

Multiply $4$ by $8$ .

$\frac{32}{31} = \frac{y}{8} \cdot 8$

$\frac{32}{31} = \frac{y}{8} \cdot 8$

$\frac{32}{31} = \frac{y}{8} \cdot 8$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $8$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{32}{31} = \frac{y}{8} \cdot 8$

Step 2.2.1.2

Rewrite the expression.

$\frac{32}{31} = y$

$\frac{32}{31} = y$

$\frac{32}{31} = y$

$\frac{32}{31} = y$

Step 3

Rewrite the equation as $y = \frac{32}{31}$ .

$y = \frac{32}{31}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{32}{31}$

Decimal Form:

$y = 1.03225806 \dots$

Mixed Number Form:

$y = 1 \frac{1}{31}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$