Solve 21/8-11/3+51/5

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

Evaluate

$$\frac{719}{120}\approx 5.991666667$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+1}{8}-\frac{1\times 3+1}{3}+\frac{5\times 5+1}{5}$$

Add 16 and 1 to get 17.

$$\frac{17}{8}-\frac{1\times 3+1}{3}+\frac{5\times 5+1}{5}$$

Multiply 1 and 3 to get 3.

$$\frac{17}{8}-\frac{3+1}{3}+\frac{5\times 5+1}{5}$$

Add 3 and 1 to get 4.

$$\frac{17}{8}-\frac{4}{3}+\frac{5\times 5+1}{5}$$

Least common multiple of 8 and 3 is 24. Convert \frac{17}{8} and \frac{4}{3} to fractions with denominator 24.

$$\frac{51}{24}-\frac{32}{24}+\frac{5\times 5+1}{5}$$

Since \frac{51}{24} and \frac{32}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-32}{24}+\frac{5\times 5+1}{5}$$

Subtract 32 from 51 to get 19.

$$\frac{19}{24}+\frac{5\times 5+1}{5}$$

Multiply 5 and 5 to get 25.

$$\frac{19}{24}+\frac{25+1}{5}$$

Add 25 and 1 to get 26.

$$\frac{19}{24}+\frac{26}{5}$$

Least common multiple of 24 and 5 is 120. Convert \frac{19}{24} and \frac{26}{5} to fractions with denominator 120.

$$\frac{95}{120}+\frac{624}{120}$$

Since \frac{95}{120} and \frac{624}{120} have the same denominator, add them by adding their numerators.

$$\frac{95+624}{120}$$

Add 95 and 624 to get 719.

$$\frac{719}{120}$$

Factor

$$\frac{719}{2 ^ {3} \cdot 3 \cdot 5} = 5\frac{119}{120} = 5.991666666666666$$