Basic Math Examples

$\frac{12}{5} = \frac{y - 3}{11}$

Step 1

Rewrite the equation as $\frac{y - 3}{11} = \frac{12}{5}$ .

$\frac{y - 3}{11} = \frac{12}{5}$

Step 2

Multiply both sides of the equation by $11$ .

$11 \frac{y - 3}{11} = 11 (\frac{12}{5})$

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 $11$ .

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Step 3.1.1.1

Cancel the common factor.

$11 \frac{y - 3}{11} = 11 (\frac{12}{5})$

Step 3.1.1.2

Rewrite the expression.

$y - 3 = 11 (\frac{12}{5})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $11 (\frac{12}{5})$ .

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Step 3.2.1.1

Combine $11$ and $\frac{12}{5}$ .

$y - 3 = \frac{11 \cdot 12}{5}$

Step 3.2.1.2

Multiply $11$ by $12$ .

$y - 3 = \frac{132}{5}$

Step 4

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

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Step 4.1

Add $3$ to both sides of the equation.

$y = \frac{132}{5} + 3$

Step 4.2

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{132}{5} + 3 \cdot \frac{5}{5}$

Step 4.3

Combine $3$ and $\frac{5}{5}$ .

$y = \frac{132}{5} + \frac{3 \cdot 5}{5}$

Step 4.4

Combine the numerators over the common denominator.

$y = \frac{132 + 3 \cdot 5}{5}$

Step 4.5

Simplify the numerator.

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Step 4.5.1

Multiply $3$ by $5$ .

$y = \frac{132 + 15}{5}$

Step 4.5.2

Add $132$ and $15$ .

$y = \frac{147}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = \frac{147}{5}$

Decimal Form:

$y = 29.4$

Mixed Number Form:

$y = 29 \frac{2}{5}$