Solve 51/5-33/10+44/15

$$5 \frac { 1 } { 5 } - 3 \frac { 3 } { 10 } + 4 \frac { 4 } { 15 }$$

Evaluate

$$\frac{37}{6}\approx 6.166666667$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25+1}{5}-\frac{3\times 10+3}{10}+\frac{4\times 15+4}{15}$$

Add 25 and 1 to get 26.

$$\frac{26}{5}-\frac{3\times 10+3}{10}+\frac{4\times 15+4}{15}$$

Multiply 3 and 10 to get 30.

$$\frac{26}{5}-\frac{30+3}{10}+\frac{4\times 15+4}{15}$$

Add 30 and 3 to get 33.

$$\frac{26}{5}-\frac{33}{10}+\frac{4\times 15+4}{15}$$

Least common multiple of 5 and 10 is 10. Convert \frac{26}{5} and \frac{33}{10} to fractions with denominator 10.

$$\frac{52}{10}-\frac{33}{10}+\frac{4\times 15+4}{15}$$

Since \frac{52}{10} and \frac{33}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-33}{10}+\frac{4\times 15+4}{15}$$

Subtract 33 from 52 to get 19.

$$\frac{19}{10}+\frac{4\times 15+4}{15}$$

Multiply 4 and 15 to get 60.

$$\frac{19}{10}+\frac{60+4}{15}$$

Add 60 and 4 to get 64.

$$\frac{19}{10}+\frac{64}{15}$$

Least common multiple of 10 and 15 is 30. Convert \frac{19}{10} and \frac{64}{15} to fractions with denominator 30.

$$\frac{57}{30}+\frac{128}{30}$$

Since \frac{57}{30} and \frac{128}{30} have the same denominator, add them by adding their numerators.

$$\frac{57+128}{30}$$

Add 57 and 128 to get 185.

$$\frac{185}{30}$$

Reduce the fraction \frac{185}{30} to lowest terms by extracting and canceling out 5.

$$\frac{37}{6}$$

Factor

$$\frac{37}{2 \cdot 3} = 6\frac{1}{6} = 6.166666666666667$$