Basic Math Examples

$\frac{1}{6} t - \frac{4}{5} = \frac{1}{5}$

Step 1

Combine $\frac{1}{6}$ and $t$ .

$\frac{t}{6} - \frac{4}{5} = \frac{1}{5}$

Step 2

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

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Step 2.1

Add $\frac{4}{5}$ to both sides of the equation.

$\frac{t}{6} = \frac{1}{5} + \frac{4}{5}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{t}{6} = \frac{1 + 4}{5}$

Step 2.3

Add $1$ and $4$ .

$\frac{t}{6} = \frac{5}{5}$

Step 2.4

Divide $5$ by $5$ .

$\frac{t}{6} = 1$

Step 3

Multiply both sides of the equation by $6$ .

$6 \frac{t}{6} = 6 \cdot 1$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $6$ .

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Step 4.1.1.1

Cancel the common factor.

$6 \frac{t}{6} = 6 \cdot 1$

Step 4.1.1.2

Rewrite the expression.

$t = 6 \cdot 1$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $6$ by $1$ .

$t = 6$