Algebra Examples

$\frac{b}{13} - \frac{3 b}{13} = \frac{8}{13}$

Step 1

Simplify $\frac{b}{13} - \frac{3 b}{13}$ .

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Step 1.1

Combine the numerators over the common denominator.

$\frac{b - 3 b}{13} = \frac{8}{13}$

Step 1.2

Subtract $3 b$ from $b$ .

$\frac{- 2 b}{13} = \frac{8}{13}$

Step 1.3

Move the negative in front of the fraction.

$- \frac{2 b}{13} = \frac{8}{13}$

Step 2

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

$- 2 b = 8$

Step 3

Divide each term in $- 2 b = 8$ by $- 2$ and simplify.

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Step 3.1

Divide each term in $- 2 b = 8$ by $- 2$ .

$\frac{- 2 b}{- 2} = \frac{8}{- 2}$

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.

$\frac{- 2 b}{- 2} = \frac{8}{- 2}$

Step 3.2.1.2

Divide $b$ by $1$ .

$b = \frac{8}{- 2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $8$ by $- 2$ .

$b = - 4$