Solve 3*(6/7-3/4)

$$3 \cdot ( \frac { 6 } { 7 } - \frac { 3 } { 4 } )$$

Evaluate

$$\frac{9}{28}\approx 0.321428571$$

Solution Steps

Least common multiple of 7 and 4 is 28. Convert \frac{6}{7} and \frac{3}{4} to fractions with denominator 28.

$$3\left(\frac{24}{28}-\frac{21}{28}\right)$$

Since \frac{24}{28} and \frac{21}{28} have the same denominator, subtract them by subtracting their numerators.

$$3\times \frac{24-21}{28}$$

Subtract 21 from 24 to get 3.

$$3\times \frac{3}{28}$$

Express 3\times \frac{3}{28} as a single fraction.

$$\frac{3\times 3}{28}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{28}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 7} = 0.32142857142857145$$