Evaluate 3/7(2)-5/14*4

$\frac{3}{7} (2) - \frac{5}{14} \cdot 4$

Step 1

Simplify each term.

Multiply $\frac{3}{7} (2)$ .

Combine $\frac{3}{7}$ and $2$ .

$\frac{3 \cdot 2}{7} - \frac{5}{14} \cdot 4$

Multiply $3$ by $2$ .

$\frac{6}{7} - \frac{5}{14} \cdot 4$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{5}{14}$ into the numerator.

$\frac{6}{7} + \frac{- 5}{14} \cdot 4$

Factor $2$ out of $14$ .

$\frac{6}{7} + \frac{- 5}{2 (7)} \cdot 4$

Factor $2$ out of $4$ .

$\frac{6}{7} + \frac{- 5}{2 \cdot 7} \cdot (2 \cdot 2)$

Cancel the common factor.

$\frac{6}{7} + \frac{- 5}{2 \cdot 7} \cdot (2 \cdot 2)$

Rewrite the expression.

$\frac{6}{7} + \frac{- 5}{7} \cdot 2$

Combine $\frac{- 5}{7}$ and $2$ .

$\frac{6}{7} + \frac{- 5 \cdot 2}{7}$

Multiply $- 5$ by $2$ .

$\frac{6}{7} + \frac{- 10}{7}$

Move the negative in front of the fraction.

$\frac{6}{7} - \frac{10}{7}$

Step 2

Combine fractions.

Combine the numerators over the common denominator.

$\frac{6 - 10}{7}$

Simplify the expression.

Subtract $10$ from $6$ .

$\frac{- 4}{7}$

Move the negative in front of the fraction.

$- \frac{4}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{7}$

Decimal Form:

$- 0.\overline{571428}$