Solve 3-3/2*10/21-2/7

$$3 - \frac { 3 } { 2 } \times \frac { 10 } { 21 } - \frac { 2 } { 7 }$$

Evaluate

$$2$$

Solution Steps

Multiply \frac{3}{2} times \frac{10}{21} by multiplying numerator times numerator and denominator times denominator.

$$3-\frac{3\times 10}{2\times 21}-\frac{2}{7}$$

Do the multiplications in the fraction \frac{3\times 10}{2\times 21}.

$$3-\frac{30}{42}-\frac{2}{7}$$

Reduce the fraction \frac{30}{42} to lowest terms by extracting and canceling out 6.

$$3-\frac{5}{7}-\frac{2}{7}$$

Convert 3 to fraction \frac{21}{7}.

$$\frac{21}{7}-\frac{5}{7}-\frac{2}{7}$$

Since \frac{21}{7} and \frac{5}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-5}{7}-\frac{2}{7}$$

Subtract 5 from 21 to get 16.

$$\frac{16}{7}-\frac{2}{7}$$

Since \frac{16}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-2}{7}$$

Subtract 2 from 16 to get 14.

$$\frac{14}{7}$$

Divide 14 by 7 to get 2.

$$2$$

Factor

$$2$$