Solve 9/20*(2/3-3/7)

$$\frac { 9 } { 20 } \times ( \frac { 2 } { 3 } - \frac { 3 } { 7 } )$$

Evaluate

$$\frac{3}{28}\approx 0.107142857$$

Solution Steps

Least common multiple of 3 and 7 is 21. Convert \frac{2}{3} and \frac{3}{7} to fractions with denominator 21.

$$\frac{9}{20}\left(\frac{14}{21}-\frac{9}{21}\right)$$

Since \frac{14}{21} and \frac{9}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9}{20}\times \frac{14-9}{21}$$

Subtract 9 from 14 to get 5.

$$\frac{9}{20}\times \frac{5}{21}$$

Multiply \frac{9}{20} times \frac{5}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 5}{20\times 21}$$

Do the multiplications in the fraction \frac{9\times 5}{20\times 21}.

$$\frac{45}{420}$$

Reduce the fraction \frac{45}{420} to lowest terms by extracting and canceling out 15.

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

Factor

$$\frac{3}{2 ^ {2} \cdot 7} = 0.10714285714285714$$