Solve 3/7(2)-5/14(4)=

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

Evaluate

$$-\frac{4}{7}\approx -0.571428571$$

Solution Steps

Express \frac{3}{7}\times 2 as a single fraction.

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

Multiply 3 and 2 to get 6.

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

Express \frac{5}{14}\times 4 as a single fraction.

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

Multiply 5 and 4 to get 20.

$$\frac{6}{7}-\frac{20}{14}$$

Reduce the fraction \frac{20}{14} to lowest terms by extracting and canceling out 2.

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

Since \frac{6}{7} and \frac{10}{7} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 10 from 6 to get -4.

$$-\frac{4}{7}$$

Factor

$$-\frac{4}{7} = -0.5714285714285714$$