Solve 21/3-24/7

$$2 \frac { 1 } { 3 } - 2 \frac { 4 } { 7 }$$

Evaluate

$$-\frac{5}{21}\approx -0.238095238$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+1}{3}-\frac{2\times 7+4}{7}$$

Add 6 and 1 to get 7.

$$\frac{7}{3}-\frac{2\times 7+4}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{7}{3}-\frac{14+4}{7}$$

Add 14 and 4 to get 18.

$$\frac{7}{3}-\frac{18}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{7}{3} and \frac{18}{7} to fractions with denominator 21.

$$\frac{49}{21}-\frac{54}{21}$$

Since \frac{49}{21} and \frac{54}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-54}{21}$$

Subtract 54 from 49 to get -5.

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

Factor

$$-\frac{5}{21} = -0.23809523809523808$$