Solve 3/4+52/3

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

Evaluate

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

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{3}{4}+\frac{15+2}{3}$$

Add 15 and 2 to get 17.

$$\frac{3}{4}+\frac{17}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{17}{3} to fractions with denominator 12.

$$\frac{9}{12}+\frac{68}{12}$$

Since \frac{9}{12} and \frac{68}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+68}{12}$$

Add 9 and 68 to get 77.

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

Factor

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