$$2 \frac { 1 } { 2 } + 2 \frac { 1 } { 3 } - 1 \frac { 1 } { 4 } + 2 \frac { 5 } { 8 } - 2 \frac { 1 } { 6 } + \frac { 3 } { 4 }$$
$\frac{115}{24}\approx 4.791666667$
$$\frac{4+1}{2}+\frac{2\times 3+1}{3}-\frac{1\times 4+1}{4}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{5}{2}+\frac{2\times 3+1}{3}-\frac{1\times 4+1}{4}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{5}{2}+\frac{6+1}{3}-\frac{1\times 4+1}{4}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{5}{2}+\frac{7}{3}-\frac{1\times 4+1}{4}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{15}{6}+\frac{14}{6}-\frac{1\times 4+1}{4}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{15+14}{6}-\frac{1\times 4+1}{4}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{29}{6}-\frac{1\times 4+1}{4}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{29}{6}-\frac{4+1}{4}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{29}{6}-\frac{5}{4}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{58}{12}-\frac{15}{12}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{58-15}{12}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{43}{12}+\frac{2\times 8+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{43}{12}+\frac{16+5}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{43}{12}+\frac{21}{8}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{86}{24}+\frac{63}{24}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{86+63}{24}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{149}{24}-\frac{2\times 6+1}{6}+\frac{3}{4}$$
$$\frac{149}{24}-\frac{12+1}{6}+\frac{3}{4}$$
$$\frac{149}{24}-\frac{13}{6}+\frac{3}{4}$$
$$\frac{149}{24}-\frac{52}{24}+\frac{3}{4}$$
$$\frac{149-52}{24}+\frac{3}{4}$$
$$\frac{97}{24}+\frac{3}{4}$$
$$\frac{97}{24}+\frac{18}{24}$$
$$\frac{97+18}{24}$$
$$\frac{115}{24}$$
Show Solution
Hide Solution
$\frac{5 \cdot 23}{2 ^ {3} \cdot 3} = 4\frac{19}{24} = 4.791666666666667$
