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

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

Evaluate

$$\frac{193}{56}\approx 3.446428571$$

Solution Steps

Least common multiple of 7 and 8 is 56. Convert \frac{4}{7} and \frac{3}{8} to fractions with denominator 56.

$$\frac{32}{56}+\frac{21}{56}+\frac{5}{2}$$

Since \frac{32}{56} and \frac{21}{56} have the same denominator, add them by adding their numerators.

$$\frac{32+21}{56}+\frac{5}{2}$$

Add 32 and 21 to get 53.

$$\frac{53}{56}+\frac{5}{2}$$

Least common multiple of 56 and 2 is 56. Convert \frac{53}{56} and \frac{5}{2} to fractions with denominator 56.

$$\frac{53}{56}+\frac{140}{56}$$

Since \frac{53}{56} and \frac{140}{56} have the same denominator, add them by adding their numerators.

$$\frac{53+140}{56}$$

Add 53 and 140 to get 193.

$$\frac{193}{56}$$

Factor

$$\frac{193}{2 ^ {3} \cdot 7} = 3\frac{25}{56} = 3.4464285714285716$$