Solve 25/6+323/30

$$2 \frac{ 5 }{ 6 } +3 \frac{ 23 }{ 30 }$$

Evaluate

$$\frac{33}{5}=6.6$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+5}{6}+\frac{3\times 30+23}{30}$$

Add 12 and 5 to get 17.

$$\frac{17}{6}+\frac{3\times 30+23}{30}$$

Multiply 3 and 30 to get 90.

$$\frac{17}{6}+\frac{90+23}{30}$$

Add 90 and 23 to get 113.

$$\frac{17}{6}+\frac{113}{30}$$

Least common multiple of 6 and 30 is 30. Convert \frac{17}{6} and \frac{113}{30} to fractions with denominator 30.

$$\frac{85}{30}+\frac{113}{30}$$

Since \frac{85}{30} and \frac{113}{30} have the same denominator, add them by adding their numerators.

$$\frac{85+113}{30}$$

Add 85 and 113 to get 198.

$$\frac{198}{30}$$

Reduce the fraction \frac{198}{30} to lowest terms by extracting and canceling out 6.

$$\frac{33}{5}$$

Factor

$$\frac{3 \cdot 11}{5} = 6\frac{3}{5} = 6.6$$