Solve 5/3+7/6-23/15

$$\frac { 5 } { 3 } + \frac { 7 } { 6 } - \frac { 23 } { 15 }$$

Evaluate

$$\frac{13}{10}=1.3$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{5}{3} and \frac{7}{6} to fractions with denominator 6.

$$\frac{10}{6}+\frac{7}{6}-\frac{23}{15}$$

Since \frac{10}{6} and \frac{7}{6} have the same denominator, add them by adding their numerators.

$$\frac{10+7}{6}-\frac{23}{15}$$

Add 10 and 7 to get 17.

$$\frac{17}{6}-\frac{23}{15}$$

Least common multiple of 6 and 15 is 30. Convert \frac{17}{6} and \frac{23}{15} to fractions with denominator 30.

$$\frac{85}{30}-\frac{46}{30}$$

Since \frac{85}{30} and \frac{46}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-46}{30}$$

Subtract 46 from 85 to get 39.

$$\frac{39}{30}$$

Reduce the fraction \frac{39}{30} to lowest terms by extracting and canceling out 3.

$$\frac{13}{10}$$

Factor

$$\frac{13}{2 \cdot 5} = 1\frac{3}{10} = 1.3$$