Basic Math Examples

$\frac{29}{24} = \frac{r}{3}$

Step 1

Rewrite the equation as $\frac{r}{3} = \frac{29}{24}$ .

$\frac{r}{3} = \frac{29}{24}$

Step 2

Multiply both sides of the equation by $3$ .

$3 \frac{r}{3} = 3 (\frac{29}{24})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $3$ .

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Step 3.1.1.1

Cancel the common factor.

$3 \frac{r}{3} = 3 (\frac{29}{24})$

Step 3.1.1.2

Rewrite the expression.

$r = 3 (\frac{29}{24})$

$r = 3 (\frac{29}{24})$

$r = 3 (\frac{29}{24})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Factor $3$ out of $24$ .

$r = 3 \frac{29}{3 (8)}$

Step 3.2.1.2

Cancel the common factor.

$r = 3 \frac{29}{3 \cdot 8}$

Step 3.2.1.3

Rewrite the expression.

$r = \frac{29}{8}$

$r = \frac{29}{8}$

$r = \frac{29}{8}$

$r = \frac{29}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$r = \frac{29}{8}$

Decimal Form:

$r = 3.625$

Mixed Number Form:

$r = 3 \frac{5}{8}$

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