Basic Math Examples

$\frac{y}{\frac{4}{9}} = \frac{8}{27}$

Step 1

Multiply both sides by $\frac{4}{9}$ .

$\frac{y}{\frac{4}{9}} \cdot \frac{4}{9} = \frac{8}{27} \cdot \frac{4}{9}$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{y}{\frac{4}{9}} \cdot \frac{4}{9}$ .

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Step 2.1.1.1

Multiply the numerator by the reciprocal of the denominator.

$y \frac{9}{4} \frac{4}{9} = \frac{8}{27} \cdot \frac{4}{9}$

Step 2.1.1.2

Combine $y$ and $\frac{9}{4}$ .

$\frac{y \cdot 9}{4} \cdot \frac{4}{9} = \frac{8}{27} \cdot \frac{4}{9}$

Step 2.1.1.3

Cancel the common factor of $9$ .

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Step 2.1.1.3.1

Factor $9$ out of $y \cdot 9$ .

$\frac{9 \cdot y}{4} \cdot \frac{4}{9} = \frac{8}{27} \cdot \frac{4}{9}$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{9 \cdot y}{4} \cdot \frac{4}{9} = \frac{8}{27} \cdot \frac{4}{9}$

Step 2.1.1.3.3

Rewrite the expression.

$\frac{y}{4} \cdot 4 = \frac{8}{27} \cdot \frac{4}{9}$

Step 2.1.1.4

Cancel the common factor of $4$ .

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Step 2.1.1.4.1

Cancel the common factor.

$\frac{y}{4} \cdot 4 = \frac{8}{27} \cdot \frac{4}{9}$

Step 2.1.1.4.2

Rewrite the expression.

$y = \frac{8}{27} \cdot \frac{4}{9}$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $\frac{8}{27} \cdot \frac{4}{9}$ .

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Step 2.2.1.1

Multiply $\frac{8}{27}$ by $\frac{4}{9}$ .

$y = \frac{8 \cdot 4}{27 \cdot 9}$

Step 2.2.1.2

Multiply $8$ by $4$ .

$y = \frac{32}{27 \cdot 9}$

Step 2.2.1.3

Multiply $27$ by $9$ .

$y = \frac{32}{243}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = \frac{32}{243}$

Decimal Form:

$y = 0.13168724 \dots$