Solve f(-2/7)=3*(-2/7)+4/2

$$f ( - \frac { 2 } { 7 } ) = \frac { 3 \cdot ( - \frac { 2 } { 7 } ) + 4 } { 2 }$$

Evaluate

$$\frac{11}{7}\approx 1.571428571$$

Solution Steps

Express 3\left(-\frac{2}{7}\right) as a single fraction.

$$\frac{\frac{3\left(-2\right)}{7}+4}{2}$$

Multiply 3 and -2 to get -6.

$$\frac{\frac{-6}{7}+4}{2}$$

Fraction \frac{-6}{7} can be rewritten as -\frac{6}{7} by extracting the negative sign.

$$\frac{-\frac{6}{7}+4}{2}$$

Convert 4 to fraction \frac{28}{7}.

$$\frac{-\frac{6}{7}+\frac{28}{7}}{2}$$

Since -\frac{6}{7} and \frac{28}{7} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-6+28}{7}}{2}$$

Add -6 and 28 to get 22.

$$\frac{\frac{22}{7}}{2}$$

Express \frac{\frac{22}{7}}{2} as a single fraction.

$$\frac{22}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$\frac{22}{14}$$

Reduce the fraction \frac{22}{14} to lowest terms by extracting and canceling out 2.

$$\frac{11}{7}$$

Factor

$$\frac{11}{7} = 1\frac{4}{7} = 1.5714285714285714$$