Solve 7/2-3/7+5/8

$$\frac { 7 } { 2 } - \frac { 3 } { 7 } + \frac { 5 } { 8 }$$

Evaluate

$$\frac{207}{56}\approx 3.696428571$$

Solution Steps

Least common multiple of 2 and 7 is 14. Convert \frac{7}{2} and \frac{3}{7} to fractions with denominator 14.

$$\frac{49}{14}-\frac{6}{14}+\frac{5}{8}$$

Since \frac{49}{14} and \frac{6}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-6}{14}+\frac{5}{8}$$

Subtract 6 from 49 to get 43.

$$\frac{43}{14}+\frac{5}{8}$$

Least common multiple of 14 and 8 is 56. Convert \frac{43}{14} and \frac{5}{8} to fractions with denominator 56.

$$\frac{172}{56}+\frac{35}{56}$$

Since \frac{172}{56} and \frac{35}{56} have the same denominator, add them by adding their numerators.

$$\frac{172+35}{56}$$

Add 172 and 35 to get 207.

$$\frac{207}{56}$$

Factor

$$\frac{3 ^ {2} \cdot 23}{2 ^ {3} \cdot 7} = 3\frac{39}{56} = 3.6964285714285716$$