Basic Math Examples

$\frac{z + 3}{44} = \frac{42}{24}$

Step 1

Multiply both sides of the equation by $44$ .

$44 \frac{z + 3}{44} = 44 (\frac{42}{24})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $44$ .

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Step 2.1.1.1

Cancel the common factor.

$44 \frac{z + 3}{44} = 44 (\frac{42}{24})$

Step 2.1.1.2

Rewrite the expression.

$z + 3 = 44 (\frac{42}{24})$

$z + 3 = 44 (\frac{42}{24})$

$z + 3 = 44 (\frac{42}{24})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $44 (\frac{42}{24})$ .

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Step 2.2.1.1

Cancel the common factor of $4$ .

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Step 2.2.1.1.1

Factor $4$ out of $44$ .

$z + 3 = 4 (11) \frac{42}{24}$

Step 2.2.1.1.2

Factor $4$ out of $24$ .

$z + 3 = 4 \cdot 11 \frac{42}{4 \cdot 6}$

Step 2.2.1.1.3

Cancel the common factor.

$z + 3 = 4 \cdot 11 \frac{42}{4 \cdot 6}$

Step 2.2.1.1.4

Rewrite the expression.

$z + 3 = 11 (\frac{42}{6})$

$z + 3 = 11 (\frac{42}{6})$

Step 2.2.1.2

Combine $11$ and $\frac{42}{6}$ .

$z + 3 = \frac{11 \cdot 42}{6}$

Step 2.2.1.3

Simplify the expression.

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Step 2.2.1.3.1

Multiply $11$ by $42$ .

$z + 3 = \frac{462}{6}$

Step 2.2.1.3.2

Divide $462$ by $6$ .

$z + 3 = 77$

$z + 3 = 77$

$z + 3 = 77$

$z + 3 = 77$

$z + 3 = 77$

Step 3

Move all terms not containing $z$ to the right side of the equation.

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Step 3.1

Subtract $3$ from both sides of the equation.

$z = 77 - 3$

Step 3.2

Subtract $3$ from $77$ .

$z = 74$

$z = 74$

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