Basic Math Examples

$\frac{3}{4} y = 33$

Step 1

Multiply both sides of the equation by

$\frac{4}{3}$ .

$\frac{4}{3} (\frac{3}{4} y) = \frac{4}{3} \cdot 33$

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

Simplify

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

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Step 2.1.1.1

Combine

$\frac{3}{4}$ and

$y$ .

$\frac{4}{3} \cdot \frac{3 y}{4} = \frac{4}{3} \cdot 33$

Step 2.1.1.2

Cancel the common factor of

$4$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 y}{4} = \frac{4}{3} \cdot 33$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{3} (3 y) = \frac{4}{3} \cdot 33$

Step 2.1.1.3

Cancel the common factor of

$3$ .

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Step 2.1.1.3.1

Factor

$3$ out of

$3 y$ .

$\frac{1}{3} (3 (y)) = \frac{4}{3} \cdot 33$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{3} (3 y) = \frac{4}{3} \cdot 33$

Step 2.1.1.3.3

Rewrite the expression.

$y = \frac{4}{3} \cdot 33$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify

$\frac{4}{3} \cdot 33$ .

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Step 2.2.1.1

Cancel the common factor of

$3$ .

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Step 2.2.1.1.1

Factor

$3$ out of

$33$ .

$y = \frac{4}{3} \cdot (3 (11))$

Step 2.2.1.1.2

Cancel the common factor.

$y = \frac{4}{3} \cdot (3 \cdot 11)$

Step 2.2.1.1.3

Rewrite the expression.

$y = 4 \cdot 11$

Step 2.2.1.2

Multiply

$4$ by

$11$ .

$y = 44$