Solve 23/4+36/9

$$2 \frac { 3 } { 4 } + 3 \frac { 6 } { 9 }$$

Evaluate

$$\frac{77}{12}\approx 6.416666667$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}+\frac{3\times 9+6}{9}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}+\frac{3\times 9+6}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{11}{4}+\frac{27+6}{9}$$

Add 27 and 6 to get 33.

$$\frac{11}{4}+\frac{33}{9}$$

Reduce the fraction \frac{33}{9} to lowest terms by extracting and canceling out 3.

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

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

$$\frac{33}{12}+\frac{44}{12}$$

Since \frac{33}{12} and \frac{44}{12} have the same denominator, add them by adding their numerators.

$$\frac{33+44}{12}$$

Add 33 and 44 to get 77.

$$\frac{77}{12}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 3} = 6\frac{5}{12} = 6.416666666666667$$