Solve 11/8+16/7+33/5

$$1 \frac{ 1 }{ 8 } +1 \frac{ 6 }{ 7 } +3 \frac{ 3 }{ 5 }$$

Evaluate

$$\frac{1843}{280}\approx 6.582142857$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+1}{8}+\frac{1\times 7+6}{7}+\frac{3\times 5+3}{5}$$

Add 8 and 1 to get 9.

$$\frac{9}{8}+\frac{1\times 7+6}{7}+\frac{3\times 5+3}{5}$$

Multiply 1 and 7 to get 7.

$$\frac{9}{8}+\frac{7+6}{7}+\frac{3\times 5+3}{5}$$

Add 7 and 6 to get 13.

$$\frac{9}{8}+\frac{13}{7}+\frac{3\times 5+3}{5}$$

Least common multiple of 8 and 7 is 56. Convert \frac{9}{8} and \frac{13}{7} to fractions with denominator 56.

$$\frac{63}{56}+\frac{104}{56}+\frac{3\times 5+3}{5}$$

Since \frac{63}{56} and \frac{104}{56} have the same denominator, add them by adding their numerators.

$$\frac{63+104}{56}+\frac{3\times 5+3}{5}$$

Add 63 and 104 to get 167.

$$\frac{167}{56}+\frac{3\times 5+3}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{167}{56}+\frac{15+3}{5}$$

Add 15 and 3 to get 18.

$$\frac{167}{56}+\frac{18}{5}$$

Least common multiple of 56 and 5 is 280. Convert \frac{167}{56} and \frac{18}{5} to fractions with denominator 280.

$$\frac{835}{280}+\frac{1008}{280}$$

Since \frac{835}{280} and \frac{1008}{280} have the same denominator, add them by adding their numerators.

$$\frac{835+1008}{280}$$

Add 835 and 1008 to get 1843.

$$\frac{1843}{280}$$

Factor

$$\frac{19 \cdot 97}{2 ^ {3} \cdot 5 \cdot 7} = 6\frac{163}{280} = 6.582142857142857$$