Solve 34/5+17/15-213/30

$$3 \frac { 4 } { 5 } + 1 \frac { 7 } { 15 } - 2 \frac { 13 } { 30 }$$

Evaluate

$$\frac{17}{6}\approx 2.833333333$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+4}{5}+\frac{1\times 15+7}{15}-\frac{2\times 30+13}{30}$$

Add 15 and 4 to get 19.

$$\frac{19}{5}+\frac{1\times 15+7}{15}-\frac{2\times 30+13}{30}$$

Multiply 1 and 15 to get 15.

$$\frac{19}{5}+\frac{15+7}{15}-\frac{2\times 30+13}{30}$$

Add 15 and 7 to get 22.

$$\frac{19}{5}+\frac{22}{15}-\frac{2\times 30+13}{30}$$

Least common multiple of 5 and 15 is 15. Convert \frac{19}{5} and \frac{22}{15} to fractions with denominator 15.

$$\frac{57}{15}+\frac{22}{15}-\frac{2\times 30+13}{30}$$

Since \frac{57}{15} and \frac{22}{15} have the same denominator, add them by adding their numerators.

$$\frac{57+22}{15}-\frac{2\times 30+13}{30}$$

Add 57 and 22 to get 79.

$$\frac{79}{15}-\frac{2\times 30+13}{30}$$

Multiply 2 and 30 to get 60.

$$\frac{79}{15}-\frac{60+13}{30}$$

Add 60 and 13 to get 73.

$$\frac{79}{15}-\frac{73}{30}$$

Least common multiple of 15 and 30 is 30. Convert \frac{79}{15} and \frac{73}{30} to fractions with denominator 30.

$$\frac{158}{30}-\frac{73}{30}$$

Since \frac{158}{30} and \frac{73}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{158-73}{30}$$

Subtract 73 from 158 to get 85.

$$\frac{85}{30}$$

Reduce the fraction \frac{85}{30} to lowest terms by extracting and canceling out 5.

$$\frac{17}{6}$$

Factor

$$\frac{17}{2 \cdot 3} = 2\frac{5}{6} = 2.8333333333333335$$