Solve 3/4+1/2+5/7=

$$\frac { 3 } { 4 } + \frac { 1 } { 2 } + \frac { 5 } { 7 } =$$

Evaluate

$$\frac{55}{28}\approx 1.964285714$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

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

Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

$$\frac{5}{4}+\frac{5}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{5}{4} and \frac{5}{7} to fractions with denominator 28.

$$\frac{35}{28}+\frac{20}{28}$$

Since \frac{35}{28} and \frac{20}{28} have the same denominator, add them by adding their numerators.

$$\frac{35+20}{28}$$

Add 35 and 20 to get 55.

$$\frac{55}{28}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2} \cdot 7} = 1\frac{27}{28} = 1.9642857142857142$$