Pre-Algebra Examples

$4 (11 - (55 - 3^{5}) \div 3)$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$4 (11 - \frac{55 - 3^{5}}{3})$

Step 1.2

Simplify the numerator.

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Step 1.2.1

Raise $3$ to the power of $5$ .

$4 (11 - \frac{55 - 1 \cdot 243}{3})$

Step 1.2.2

Multiply $- 1$ by $243$ .

$4 (11 - \frac{55 - 243}{3})$

Step 1.2.3

Subtract $243$ from $55$ .

$4 (11 - \frac{- 188}{3})$

Step 1.3

Move the negative in front of the fraction.

$4 (11 - - \frac{188}{3})$

Step 1.4

Multiply $- - \frac{188}{3}$ .

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Step 1.4.1

Multiply $- 1$ by $- 1$ .

$4 (11 + 1 (\frac{188}{3}))$

Step 1.4.2

Multiply $\frac{188}{3}$ by $1$ .

$4 (11 + \frac{188}{3})$

Step 2

To write $11$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$4 (11 \cdot \frac{3}{3} + \frac{188}{3})$

Step 3

Combine $11$ and $\frac{3}{3}$ .

$4 (\frac{11 \cdot 3}{3} + \frac{188}{3})$

Step 4

Combine the numerators over the common denominator.

$4 \frac{11 \cdot 3 + 188}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $11$ by $3$ .

$4 \frac{33 + 188}{3}$

Step 5.2

Add $33$ and $188$ .

$4 (\frac{221}{3})$

Step 6

Multiply $4 (\frac{221}{3})$ .

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Step 6.1

Combine $4$ and $\frac{221}{3}$ .

$\frac{4 \cdot 221}{3}$

Step 6.2

Multiply $4$ by $221$ .

$\frac{884}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{884}{3}$

Decimal Form:

$294.\overline{6}$

Mixed Number Form:

$294 \frac{2}{3}$