Pre-Algebra Examples

$27 + 7^{3} \div (- 14) \cdot 0.2$

Step 1

Simplify each term.

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Step 1.1

Raise $7$ to the power of $3$ .

$27 + 343 \div (- 14) \cdot 0.2$

Step 1.2

Rewrite the division as a fraction.

$27 + \frac{343}{- 14} \cdot 0.2$

Step 1.3

Cancel the common factor of $0.2$ .

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Step 1.3.1

Factor $0.2$ out of $- 14$ .

$27 + \frac{343}{0.2 (- 70)} \cdot 0.2$

Step 1.3.2

Cancel the common factor.

$27 + \frac{343}{0.2 \cdot - 70} \cdot 0.2$

Step 1.3.3

Rewrite the expression.

$27 + \frac{343}{- 70}$

$27 + \frac{343}{- 70}$

Step 1.4

Cancel the common factor of $343$ and $- 70$ .

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Step 1.4.1

Factor $7$ out of $343$ .

$27 + \frac{7 (49)}{- 70}$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $7$ out of $- 70$ .

$27 + \frac{7 \cdot 49}{7 \cdot - 10}$

Step 1.4.2.2

Cancel the common factor.

$27 + \frac{7 \cdot 49}{7 \cdot - 10}$

Step 1.4.2.3

Rewrite the expression.

$27 + \frac{49}{- 10}$

$27 + \frac{49}{- 10}$

$27 + \frac{49}{- 10}$

Step 1.5

Move the negative in front of the fraction.

$27 - \frac{49}{10}$

$27 - \frac{49}{10}$

Step 2

To write $27$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$27 \cdot \frac{10}{10} - \frac{49}{10}$

Step 3

Combine $27$ and $\frac{10}{10}$ .

$\frac{27 \cdot 10}{10} - \frac{49}{10}$

Step 4

Combine the numerators over the common denominator.

$\frac{27 \cdot 10 - 49}{10}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $27$ by $10$ .

$\frac{270 - 49}{10}$

Step 5.2

Subtract $49$ from $270$ .

$\frac{221}{10}$

$\frac{221}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{221}{10}$

Decimal Form:

$22.1$

Mixed Number Form:

$22 \frac{1}{10}$

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