Solve 34/7-21/3

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

Evaluate

$$\frac{26}{21}\approx 1.238095238$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+4}{7}-\frac{2\times 3+1}{3}$$

Add 21 and 4 to get 25.

$$\frac{25}{7}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{25}{7}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{25}{7}-\frac{7}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{25}{7} and \frac{7}{3} to fractions with denominator 21.

$$\frac{75}{21}-\frac{49}{21}$$

Since \frac{75}{21} and \frac{49}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75-49}{21}$$

Subtract 49 from 75 to get 26.

$$\frac{26}{21}$$

Factor

$$\frac{2 \cdot 13}{3 \cdot 7} = 1\frac{5}{21} = 1.2380952380952381$$