Solve 5/8+2/7-3/5+8/4

$$\frac { 5 } { 8 } + \frac { 2 } { 7 } - \frac { 3 } { 5 } + \frac { 8 } { 4 }$$

Evaluate

$$\frac{647}{280}\approx 2.310714286$$

Solution Steps

Least common multiple of 8 and 7 is 56. Convert \frac{5}{8} and \frac{2}{7} to fractions with denominator 56.

$$\frac{35}{56}+\frac{16}{56}-\frac{3}{5}+\frac{8}{4}$$

Since \frac{35}{56} and \frac{16}{56} have the same denominator, add them by adding their numerators.

$$\frac{35+16}{56}-\frac{3}{5}+\frac{8}{4}$$

Add 35 and 16 to get 51.

$$\frac{51}{56}-\frac{3}{5}+\frac{8}{4}$$

Least common multiple of 56 and 5 is 280. Convert \frac{51}{56} and \frac{3}{5} to fractions with denominator 280.

$$\frac{255}{280}-\frac{168}{280}+\frac{8}{4}$$

Since \frac{255}{280} and \frac{168}{280} have the same denominator, subtract them by subtracting their numerators.

$$\frac{255-168}{280}+\frac{8}{4}$$

Subtract 168 from 255 to get 87.

$$\frac{87}{280}+\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$\frac{87}{280}+2$$

Convert 2 to fraction \frac{560}{280}.

$$\frac{87}{280}+\frac{560}{280}$$

Since \frac{87}{280} and \frac{560}{280} have the same denominator, add them by adding their numerators.

$$\frac{87+560}{280}$$

Add 87 and 560 to get 647.

$$\frac{647}{280}$$

Factor

$$\frac{647}{2 ^ {3} \cdot 5 \cdot 7} = 2\frac{87}{280} = 2.3107142857142855$$