Basic Math Examples

$\frac{2 t}{3} + \frac{1}{3} = - \frac{1}{3}$

Step 1

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

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Step 1.1

Subtract $\frac{1}{3}$ from both sides of the equation.

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

Step 1.2

Combine the numerators over the common denominator.

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

Step 1.3

Subtract $1$ from $- 1$ .

$\frac{2 t}{3} = \frac{- 2}{3}$

Step 1.4

Move the negative in front of the fraction.

$\frac{2 t}{3} = - \frac{2}{3}$

Step 2

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$2 t = - 2$

Step 3

Divide each term in $2 t = - 2$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 t = - 2$ by $2$ .

$\frac{2 t}{2} = \frac{- 2}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 t}{2} = \frac{- 2}{2}$

Step 3.2.1.2

Divide $t$ by $1$ .

$t = \frac{- 2}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 2$ by $2$ .

$t = - 1$