Solve 3(3/7)-1/2

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

Evaluate

$$\frac{1}{7}\approx 0.142857143$$

Solution Steps

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

$$\frac{\frac{3\times 3}{7}-1}{2}$$

Multiply 3 and 3 to get 9.

$$\frac{\frac{9}{7}-1}{2}$$

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

$$\frac{\frac{9}{7}-\frac{7}{7}}{2}$$

Since \frac{9}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9-7}{7}}{2}$$

Subtract 7 from 9 to get 2.

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

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

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

Cancel out 2 in both numerator and denominator.

$$\frac{1}{7}$$

Factor

$$\frac{1}{7} = 0.14285714285714285$$