Solve 24/7+63/4

$$2 \frac{ 4 }{ 7 } +6 \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{261}{28}\approx 9.321428571$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+4}{7}+\frac{6\times 4+3}{4}$$

Add 14 and 4 to get 18.

$$\frac{18}{7}+\frac{6\times 4+3}{4}$$

Multiply 6 and 4 to get 24.

$$\frac{18}{7}+\frac{24+3}{4}$$

Add 24 and 3 to get 27.

$$\frac{18}{7}+\frac{27}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{18}{7} and \frac{27}{4} to fractions with denominator 28.

$$\frac{72}{28}+\frac{189}{28}$$

Since \frac{72}{28} and \frac{189}{28} have the same denominator, add them by adding their numerators.

$$\frac{72+189}{28}$$

Add 72 and 189 to get 261.

$$\frac{261}{28}$$

Factor

$$\frac{3 ^ {2} \cdot 29}{2 ^ {2} \cdot 7} = 9\frac{9}{28} = 9.321428571428571$$