Solve 2/3+1/4-3/16=

$$\frac{ 2 }{ 3 } + \frac{ 1 }{ 4 } - \frac{ 3 }{ 16 } =$$

Evaluate

$$\frac{35}{48}\approx 0.729166667$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{8}{12}+\frac{3}{12}-\frac{3}{16}$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{12}-\frac{3}{16}$$

Add 8 and 3 to get 11.

$$\frac{11}{12}-\frac{3}{16}$$

Least common multiple of 12 and 16 is 48. Convert \frac{11}{12} and \frac{3}{16} to fractions with denominator 48.

$$\frac{44}{48}-\frac{9}{48}$$

Since \frac{44}{48} and \frac{9}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44-9}{48}$$

Subtract 9 from 44 to get 35.

$$\frac{35}{48}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {4} \cdot 3} = 0.7291666666666666$$