Solve 15/6+23/4=

$$1 \frac { 5 } { 6 } + 2 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{55}{12}\approx 4.583333333$$

Solution Steps

Multiply 1 and 6 to get 6.

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

Add 6 and 5 to get 11.

$$\frac{11}{6}+\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{11}{6}+\frac{8+3}{4}$$

Add 8 and 3 to get 11.

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

Least common multiple of 6 and 4 is 12. Convert \frac{11}{6} and \frac{11}{4} to fractions with denominator 12.

$$\frac{22}{12}+\frac{33}{12}$$

Since \frac{22}{12} and \frac{33}{12} have the same denominator, add them by adding their numerators.

$$\frac{22+33}{12}$$

Add 22 and 33 to get 55.

$$\frac{55}{12}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2} \cdot 3} = 4\frac{7}{12} = 4.583333333333333$$