Solve 25/6+12/5

$$2 \frac { 5 } { 6 } + 1 \frac { 2 } { 5 }$$

Evaluate

$$\frac{127}{30}\approx 4.233333333$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+5}{6}+\frac{1\times 5+2}{5}$$

Add 12 and 5 to get 17.

$$\frac{17}{6}+\frac{1\times 5+2}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{17}{6}+\frac{5+2}{5}$$

Add 5 and 2 to get 7.

$$\frac{17}{6}+\frac{7}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{17}{6} and \frac{7}{5} to fractions with denominator 30.

$$\frac{85}{30}+\frac{42}{30}$$

Since \frac{85}{30} and \frac{42}{30} have the same denominator, add them by adding their numerators.

$$\frac{85+42}{30}$$

Add 85 and 42 to get 127.

$$\frac{127}{30}$$

Factor

$$\frac{127}{2 \cdot 3 \cdot 5} = 4\frac{7}{30} = 4.233333333333333$$