Basic Math Examples

$\frac{3}{2} \cdot (- \frac{4}{3}) \cdot y = \frac{11}{3}$

Step 1

Simplify.

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Step 1.1

Rewrite $- 1 (\frac{4}{3})$ as $- (\frac{4}{3})$ .

$\frac{3}{2} \cdot (- (\frac{4}{3})) \cdot y = \frac{11}{3}$

Step 1.2

Cancel the common factor of $3$ .

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Step 1.2.1

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$\frac{3}{2} \cdot \frac{- 4}{3} \cdot y = \frac{11}{3}$

Step 1.2.2

Cancel the common factor.

$\frac{3}{2} \cdot \frac{- 4}{3} \cdot y = \frac{11}{3}$

Step 1.2.3

Rewrite the expression.

$\frac{1}{2} \cdot - 4 \cdot y = \frac{11}{3}$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Factor $2$ out of $- 4$ .

$\frac{1}{2} \cdot (2 (- 2)) \cdot y = \frac{11}{3}$

Step 1.3.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot - 2) \cdot y = \frac{11}{3}$

Step 1.3.3

Rewrite the expression.

$- 2 \cdot y = \frac{11}{3}$

Step 2

Divide each term in $- 2 \cdot y = \frac{11}{3}$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 \cdot y = \frac{11}{3}$ by $- 2$ .

$\frac{- 2 \cdot y}{- 2} = \frac{\frac{11}{3}}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 \cdot y}{- 2} = \frac{\frac{11}{3}}{- 2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{\frac{11}{3}}{- 2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{11}{3} \cdot \frac{1}{- 2}$

Step 2.3.2

Move the negative in front of the fraction.

$y = \frac{11}{3} (- \frac{1}{2})$

Step 2.3.3

Multiply $\frac{11}{3} (- \frac{1}{2})$ .

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Step 2.3.3.1

Multiply $\frac{11}{3}$ by $\frac{1}{2}$ .

$y = - \frac{11}{3 \cdot 2}$

Step 2.3.3.2

Multiply $3$ by $2$ .

$y = - \frac{11}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{11}{6}$

Decimal Form:

$y = - 1.8\overline{3}$

Mixed Number Form:

$y = - 1 \frac{5}{6}$