Solve 84/5-41/2+31/5

$$8 \frac { 4 } { 5 } - 4 \frac { 1 } { 2 } + 3 \frac { 1 } { 5 }$$

Evaluate

$$\frac{15}{2}=7.5$$

Solution Steps

Multiply 8 and 5 to get 40.

$$\frac{40+4}{5}-\frac{4\times 2+1}{2}+\frac{3\times 5+1}{5}$$

Add 40 and 4 to get 44.

$$\frac{44}{5}-\frac{4\times 2+1}{2}+\frac{3\times 5+1}{5}$$

Multiply 4 and 2 to get 8.

$$\frac{44}{5}-\frac{8+1}{2}+\frac{3\times 5+1}{5}$$

Add 8 and 1 to get 9.

$$\frac{44}{5}-\frac{9}{2}+\frac{3\times 5+1}{5}$$

Least common multiple of 5 and 2 is 10. Convert \frac{44}{5} and \frac{9}{2} to fractions with denominator 10.

$$\frac{88}{10}-\frac{45}{10}+\frac{3\times 5+1}{5}$$

Since \frac{88}{10} and \frac{45}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{88-45}{10}+\frac{3\times 5+1}{5}$$

Subtract 45 from 88 to get 43.

$$\frac{43}{10}+\frac{3\times 5+1}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{43}{10}+\frac{15+1}{5}$$

Add 15 and 1 to get 16.

$$\frac{43}{10}+\frac{16}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{43}{10} and \frac{16}{5} to fractions with denominator 10.

$$\frac{43}{10}+\frac{32}{10}$$

Since \frac{43}{10} and \frac{32}{10} have the same denominator, add them by adding their numerators.

$$\frac{43+32}{10}$$

Add 43 and 32 to get 75.

$$\frac{75}{10}$$

Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$