Solve 72/3+24/7

$$7 \frac { 2 } { 3 } + \frac{ 24 }{ 7 }$$

Evaluate

$$\frac{233}{21}\approx 11.095238095$$

Solution Steps

Multiply 7 and 3 to get 21.

$$\frac{21+2}{3}+\frac{24}{7}$$

Add 21 and 2 to get 23.

$$\frac{23}{3}+\frac{24}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{23}{3} and \frac{24}{7} to fractions with denominator 21.

$$\frac{161}{21}+\frac{72}{21}$$

Since \frac{161}{21} and \frac{72}{21} have the same denominator, add them by adding their numerators.

$$\frac{161+72}{21}$$

Add 161 and 72 to get 233.

$$\frac{233}{21}$$

Factor

$$\frac{233}{3 \cdot 7} = 11\frac{2}{21} = 11.095238095238095$$