Basic Math Examples

v = \frac{4}{3} r

$v = \frac{4}{3} r$

Step 1

Rewrite the equation as

\frac{4}{3} r = v

$\frac{4}{3} r = v$ .

\frac{4}{3} r = v

$\frac{4}{3} r = v$

Step 2

Multiply both sides of the equation by

\frac{3}{4}

$\frac{3}{4}$ .

\frac{3}{4} (\frac{4}{3} r) = \frac{3}{4} v

$\frac{3}{4} (\frac{4}{3} r) = \frac{3}{4} v$

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

Simplify

\frac{3}{4} (\frac{4}{3} r)

$\frac{3}{4} (\frac{4}{3} r)$ .

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Step 3.1.1.1

Combine

\frac{4}{3}

$\frac{4}{3}$ and

r

$r$ .

\frac{3}{4} \cdot \frac{4 r}{3} = \frac{3}{4} v

$\frac{3}{4} \cdot \frac{4 r}{3} = \frac{3}{4} v$

Step 3.1.1.2

Cancel the common factor of

3

$3$ .

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Step 3.1.1.2.1

Cancel the common factor.

$\frac{3}{4} \cdot \frac{4 r}{3} = \frac{3}{4} v$

Step 3.1.1.2.2

Rewrite the expression.

$\frac{1}{4} (4 r) = \frac{3}{4} v$

$\frac{1}{4} (4 r) = \frac{3}{4} v$

Step 3.1.1.3

Cancel the common factor of

$4$ .

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Step 3.1.1.3.1

Factor

$4$ out of

$4 r$ .

$\frac{1}{4} (4 (r)) = \frac{3}{4} v$

Step 3.1.1.3.2

Cancel the common factor.

$\frac{1}{4} (4 r) = \frac{3}{4} v$

Step 3.1.1.3.3

Rewrite the expression.

$r = \frac{3}{4} v$

$r = \frac{3}{4} v$

$r = \frac{3}{4} v$

$r = \frac{3}{4} v$

Step 3.2

Simplify the right side.

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Step 3.2.1

Combine

$\frac{3}{4}$ and

$v$ .

$r = \frac{3 v}{4}$

$r = \frac{3 v}{4}$

$r = \frac{3 v}{4}$

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