Solve 25/3+27/4

$$2 \frac { 5 } { 3 } + 2 \frac { 7 } { 4 }$$

Evaluate

$$\frac{89}{12}\approx 7.416666667$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+5}{3}+\frac{2\times 4+7}{4}$$

Add 6 and 5 to get 11.

$$\frac{11}{3}+\frac{2\times 4+7}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{11}{3}+\frac{8+7}{4}$$

Add 8 and 7 to get 15.

$$\frac{11}{3}+\frac{15}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{11}{3} and \frac{15}{4} to fractions with denominator 12.

$$\frac{44}{12}+\frac{45}{12}$$

Since \frac{44}{12} and \frac{45}{12} have the same denominator, add them by adding their numerators.

$$\frac{44+45}{12}$$

Add 44 and 45 to get 89.

$$\frac{89}{12}$$

Factor

$$\frac{89}{2 ^ {2} \cdot 3} = 7\frac{5}{12} = 7.416666666666667$$