Solve 3*(4*-1/14+1

$$3 \times (4 \times - \frac{ 1 }{ 14 } +1$$

Evaluate

$$\frac{15}{7}\approx 2.142857143$$

Solution Steps

Express 4\left(-\frac{1}{14}\right) as a single fraction.

$$3\left(\frac{4\left(-1\right)}{14}+1\right)$$

Multiply 4 and -1 to get -4.

$$3\left(\frac{-4}{14}+1\right)$$

Reduce the fraction \frac{-4}{14} to lowest terms by extracting and canceling out 2.

$$3\left(-\frac{2}{7}+1\right)$$

Convert 1 to fraction \frac{7}{7}.

$$3\left(-\frac{2}{7}+\frac{7}{7}\right)$$

Since -\frac{2}{7} and \frac{7}{7} have the same denominator, add them by adding their numerators.

$$3\times \frac{-2+7}{7}$$

Add -2 and 7 to get 5.

$$3\times \frac{5}{7}$$

Express 3\times \frac{5}{7} as a single fraction.

$$\frac{3\times 5}{7}$$

Multiply 3 and 5 to get 15.

$$\frac{15}{7}$$

Factor

$$\frac{3 \cdot 5}{7} = 2\frac{1}{7} = 2.142857142857143$$