Evaluate (4/7-2/14-((-2)+1))(1/5*1/5*5)

$(\frac{4}{7} - \frac{2}{14} - ((- 2) + 1)) (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Simplify each term.

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Cancel the common factor of $2$ and $14$ .

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Factor $2$ out of $2$ .

$(\frac{4}{7} - \frac{2 (1)}{14} - ((- 2) + 1)) (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Cancel the common factors.

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Factor $2$ out of $14$ .

$(\frac{4}{7} - \frac{2 \cdot 1}{2 \cdot 7} - ((- 2) + 1)) (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Cancel the common factor.

$(\frac{4}{7} - \frac{2 \cdot 1}{2 \cdot 7} - ((- 2) + 1)) (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Rewrite the expression.

$(\frac{4}{7} - \frac{1}{7} - ((- 2) + 1)) (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Add $- 2$ and $1$ .

$(\frac{4}{7} - \frac{1}{7} - - 1) (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Multiply $- 1$ by $- 1$ .

$(\frac{4}{7} - \frac{1}{7} + 1) (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Combine fractions.

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Combine fractions with similar denominators.

$(1 + \frac{4 - 1}{7}) (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Simplify the expression.

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Subtract $1$ from $4$ .

$(1 + \frac{3}{7}) (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Write $1$ as a fraction with a common denominator.

$(\frac{7}{7} + \frac{3}{7}) (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Combine the numerators over the common denominator.

$\frac{7 + 3}{7} (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Add $7$ and $3$ .

$\frac{10}{7} (\frac{1}{5} \cdot \frac{1}{5} \cdot 5)$

Multiply $\frac{1}{5} \cdot \frac{1}{5}$ .

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Multiply $\frac{1}{5}$ and $\frac{1}{5}$ .

$\frac{10}{7} (\frac{1}{5 \cdot 5} \cdot 5)$

Multiply $5$ by $5$ .

$\frac{10}{7} (\frac{1}{25} \cdot 5)$

Cancel the common factor of $5$ .

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Factor $5$ out of $25$ .

$\frac{10}{7} (\frac{1}{5 (5)} \cdot 5)$

Cancel the common factor.

$\frac{10}{7} (\frac{1}{5 \cdot 5} \cdot 5)$

Rewrite the expression.

$\frac{10}{7} \cdot \frac{1}{5}$

Cancel the common factor of $5$ .

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Factor $5$ out of $10$ .

$\frac{5 (2)}{7} \cdot \frac{1}{5}$

Cancel the common factor.

$\frac{5 \cdot 2}{7} \cdot \frac{1}{5}$

Rewrite the expression.

$\frac{2}{7}$

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{7}$

Decimal Form:

$0.\overline{285714}$

Evaluate (4/7-2/14-((-2)+1))(1/5*1/5*5)

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