Basic Math Examples

$\frac{8}{11} y = - \frac{4}{11}$

Step 1

Multiply both sides of the equation by $\frac{11}{8}$ .

$\frac{11}{8} (\frac{8}{11} y) = \frac{11}{8} (- \frac{4}{11})$

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 $\frac{11}{8} (\frac{8}{11} y)$ .

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Step 2.1.1.1

Combine $\frac{8}{11}$ and $y$ .

$\frac{11}{8} \cdot \frac{8 y}{11} = \frac{11}{8} (- \frac{4}{11})$

Step 2.1.1.2

Cancel the common factor of $11$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{11}{8} \cdot \frac{8 y}{11} = \frac{11}{8} (- \frac{4}{11})$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{8} (8 y) = \frac{11}{8} (- \frac{4}{11})$

Step 2.1.1.3

Cancel the common factor of $8$ .

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Step 2.1.1.3.1

Factor $8$ out of $8 y$ .

$\frac{1}{8} (8 (y)) = \frac{11}{8} (- \frac{4}{11})$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{8} (8 y) = \frac{11}{8} (- \frac{4}{11})$

Step 2.1.1.3.3

Rewrite the expression.

$y = \frac{11}{8} (- \frac{4}{11})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{11}{8} (- \frac{4}{11})$ .

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Step 2.2.1.1

Cancel the common factor of $11$ .

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Step 2.2.1.1.1

Move the leading negative in $- \frac{4}{11}$ into the numerator.

$y = \frac{11}{8} \cdot \frac{- 4}{11}$

Step 2.2.1.1.2

Cancel the common factor.

$y = \frac{11}{8} \cdot \frac{- 4}{11}$

Step 2.2.1.1.3

Rewrite the expression.

$y = \frac{1}{8} \cdot - 4$

Step 2.2.1.2

Cancel the common factor of $4$ .

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Step 2.2.1.2.1

Factor $4$ out of $8$ .

$y = \frac{1}{4 (2)} \cdot - 4$

Step 2.2.1.2.2

Factor $4$ out of $- 4$ .

$y = \frac{1}{4 \cdot 2} \cdot (4 \cdot - 1)$

Step 2.2.1.2.3

Cancel the common factor.

$y = \frac{1}{4 \cdot 2} \cdot (4 \cdot - 1)$

Step 2.2.1.2.4

Rewrite the expression.

$y = \frac{1}{2} \cdot - 1$

Step 2.2.1.3

Combine $\frac{1}{2}$ and $- 1$ .

$y = \frac{- 1}{2}$

Step 2.2.1.4

Move the negative in front of the fraction.

$y = - \frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{1}{2}$

Decimal Form:

$y = - 0.5$