Algebra Examples

$- 2.4 (m - \frac{5}{6}) = - 5$

Step 1

Divide each term in $- 2.4 (m - \frac{5}{6}) = - 5$ by $- 2.4$ and simplify.

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Step 1.1

Divide each term in $- 2.4 (m - \frac{5}{6}) = - 5$ by $- 2.4$ .

$\frac{- 2.4 (m - \frac{5}{6})}{- 2.4} = \frac{- 5}{- 2.4}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 2.4$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 2.4 (m - \frac{5}{6})}{- 2.4} = \frac{- 5}{- 2.4}$

Step 1.2.1.2

Divide $m - \frac{5}{6}$ by $1$ .

$m - \frac{5}{6} = \frac{- 5}{- 2.4}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $- 5$ by $- 2.4$ .

$m - \frac{5}{6} = 2.08\overline{3}$

Step 2

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

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Step 2.1

Add $\frac{5}{6}$ to both sides of the equation.

$m = 2.08\overline{3} + \frac{5}{6}$

Step 2.2

To write $2.08\overline{3}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$m = 2.08\overline{3} \cdot \frac{6}{6} + \frac{5}{6}$

Step 2.3

Combine $2.08\overline{3}$ and $\frac{6}{6}$ .

$m = \frac{2.08\overline{3} \cdot 6}{6} + \frac{5}{6}$

Step 2.4

Combine the numerators over the common denominator.

$m = \frac{2.08\overline{3} \cdot 6 + 5}{6}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $2.08\overline{3}$ by $6$ .

$m = \frac{12.5 + 5}{6}$

Step 2.5.2

Add $12.5$ and $5$ .

$m = \frac{17.5}{6}$

Step 2.6

Divide $17.5$ by $6$ .

$m = 2.91\overline{6}$