Algebra Examples

$11 + (- 3) - \frac{1}{8} j - \frac{3}{8} j + 7$

Step 1

Remove parentheses.

$11 - 3 - \frac{1}{8} j - \frac{3}{8} j + 7$

Step 2

Simplify each term.

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Step 2.1

Combine $j$ and $\frac{1}{8}$ .

$11 - 3 - \frac{j}{8} - \frac{3}{8} j + 7$

Step 2.2

Combine $j$ and $\frac{3}{8}$ .

$11 - 3 - \frac{j}{8} - \frac{j \cdot 3}{8} + 7$

Step 2.3

Move $3$ to the left of $j$ .

$11 - 3 - \frac{j}{8} - \frac{3 j}{8} + 7$

$11 - 3 - \frac{j}{8} - \frac{3 j}{8} + 7$

Step 3

Simplify terms.

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Step 3.1

Combine the numerators over the common denominator.

$11 - 3 + 7 + \frac{- j - 3 j}{8}$

Step 3.2

Subtract $3 j$ from $- j$ .

$11 - 3 + 7 + \frac{- 4 j}{8}$

$11 - 3 + 7 + \frac{- 4 j}{8}$

Step 4

Simplify each term.

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Step 4.1

Cancel the common factor of $- 4$ and $8$ .

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Step 4.1.1

Factor $4$ out of $- 4 j$ .

$11 - 3 + 7 + \frac{4 (- j)}{8}$

Step 4.1.2

Cancel the common factors.

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Step 4.1.2.1

Factor $4$ out of $8$ .

$11 - 3 + 7 + \frac{4 (- j)}{4 (2)}$

Step 4.1.2.2

Cancel the common factor.

$11 - 3 + 7 + \frac{4 (- j)}{4 \cdot 2}$

Step 4.1.2.3

Rewrite the expression.

$11 - 3 + 7 + \frac{- j}{2}$

$11 - 3 + 7 + \frac{- j}{2}$

$11 - 3 + 7 + \frac{- j}{2}$

Step 4.2

Move the negative in front of the fraction.

$11 - 3 + 7 - \frac{j}{2}$

$11 - 3 + 7 - \frac{j}{2}$

Step 5

Simplify by adding and subtracting.

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Step 5.1

Subtract $3$ from $11$ .

$8 + 7 - \frac{j}{2}$

Step 5.2

Add $8$ and $7$ .

$15 - \frac{j}{2}$

$15 - \frac{j}{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$