Solve 5/12+11/14+3/16+3/7=

$$\frac { 5 } { 12 } + \frac { 11 } { 14 } + \frac { 3 } { 16 } + \frac { 3 } { 7 } =$$

Evaluate

$$\frac{611}{336}\approx 1.818452381$$

Solution Steps

Least common multiple of 12 and 14 is 84. Convert \frac{5}{12} and \frac{11}{14} to fractions with denominator 84.

$$\frac{35}{84}+\frac{66}{84}+\frac{3}{16}+\frac{3}{7}$$

Since \frac{35}{84} and \frac{66}{84} have the same denominator, add them by adding their numerators.

$$\frac{35+66}{84}+\frac{3}{16}+\frac{3}{7}$$

Add 35 and 66 to get 101.

$$\frac{101}{84}+\frac{3}{16}+\frac{3}{7}$$

Least common multiple of 84 and 16 is 336. Convert \frac{101}{84} and \frac{3}{16} to fractions with denominator 336.

$$\frac{404}{336}+\frac{63}{336}+\frac{3}{7}$$

Since \frac{404}{336} and \frac{63}{336} have the same denominator, add them by adding their numerators.

$$\frac{404+63}{336}+\frac{3}{7}$$

Add 404 and 63 to get 467.

$$\frac{467}{336}+\frac{3}{7}$$

Least common multiple of 336 and 7 is 336. Convert \frac{467}{336} and \frac{3}{7} to fractions with denominator 336.

$$\frac{467}{336}+\frac{144}{336}$$

Since \frac{467}{336} and \frac{144}{336} have the same denominator, add them by adding their numerators.

$$\frac{467+144}{336}$$

Add 467 and 144 to get 611.

$$\frac{611}{336}$$

Factor

$$\frac{13 \cdot 47}{2 ^ {4} \cdot 3 \cdot 7} = 1\frac{275}{336} = 1.818452380952381$$