Basic Math Examples

$- 2 y = \frac{10}{3}$

Step 1

Divide each term in $- 2 y = \frac{10}{3}$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{\frac{10}{3}}{- 2}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 2$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{\frac{10}{3}}{- 2}$

Step 2.1.2

Divide $y$ by $1$ .

$y = \frac{\frac{10}{3}}{- 2}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{10}{3} \cdot \frac{1}{- 2}$

Step 3.2

Cancel the common factor of $2$ .

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Step 3.2.1

Factor $2$ out of $10$ .

$y = \frac{2 (5)}{3} \cdot \frac{1}{- 2}$

Step 3.2.2

Factor $2$ out of $- 2$ .

$y = \frac{2 \cdot 5}{3} \cdot \frac{1}{2 \cdot - 1}$

Step 3.2.3

Cancel the common factor.

$y = \frac{2 \cdot 5}{3} \cdot \frac{1}{2 \cdot - 1}$

Step 3.2.4

Rewrite the expression.

$y = \frac{5}{3} \cdot \frac{1}{- 1}$

Step 3.3

Multiply $\frac{5}{3}$ by $\frac{1}{- 1}$ .

$y = \frac{5}{3 \cdot - 1}$

Step 3.4

Simplify the expression.

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Step 3.4.1

Multiply $3$ by $- 1$ .

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

Step 3.4.2

Move the negative in front of the fraction.

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = - 1.\overline{6}$

Mixed Number Form:

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