Solve 72/3-14/5-21/6

$$7 \frac { 2 } { 3 } - 1 \frac { 4 } { 5 } - 2 \frac { 1 } { 6 }$$

Evaluate

$$\frac{37}{10}=3.7$$

Solution Steps

Multiply 7 and 3 to get 21.

$$\frac{21+2}{3}-\frac{1\times 5+4}{5}-\frac{2\times 6+1}{6}$$

Add 21 and 2 to get 23.

$$\frac{23}{3}-\frac{1\times 5+4}{5}-\frac{2\times 6+1}{6}$$

Multiply 1 and 5 to get 5.

$$\frac{23}{3}-\frac{5+4}{5}-\frac{2\times 6+1}{6}$$

Add 5 and 4 to get 9.

$$\frac{23}{3}-\frac{9}{5}-\frac{2\times 6+1}{6}$$

Least common multiple of 3 and 5 is 15. Convert \frac{23}{3} and \frac{9}{5} to fractions with denominator 15.

$$\frac{115}{15}-\frac{27}{15}-\frac{2\times 6+1}{6}$$

Since \frac{115}{15} and \frac{27}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{115-27}{15}-\frac{2\times 6+1}{6}$$

Subtract 27 from 115 to get 88.

$$\frac{88}{15}-\frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{88}{15}-\frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$\frac{88}{15}-\frac{13}{6}$$

Least common multiple of 15 and 6 is 30. Convert \frac{88}{15} and \frac{13}{6} to fractions with denominator 30.

$$\frac{176}{30}-\frac{65}{30}$$

Since \frac{176}{30} and \frac{65}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{176-65}{30}$$

Subtract 65 from 176 to get 111.

$$\frac{111}{30}$$

Reduce the fraction \frac{111}{30} to lowest terms by extracting and canceling out 3.

$$\frac{37}{10}$$

Factor

$$\frac{37}{2 \cdot 5} = 3\frac{7}{10} = 3.7$$