Evaluate
\frac{9a}{4}+\frac{13b}{3}+\frac{31c}{3}
Expand
\frac{9a}{4}+\frac{13b}{3}+\frac{31c}{3}
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\frac{1}{12}a-\frac{1}{3}b+\frac{8+1}{2}b-\frac{5}{6}c+\frac{3\times 3+2}{3}a+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Multiply 4 and 2 to get 8.
\frac{1}{12}a-\frac{1}{3}b+\frac{9}{2}b-\frac{5}{6}c+\frac{3\times 3+2}{3}a+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Add 8 and 1 to get 9.
\frac{1}{12}a+\frac{25}{6}b-\frac{5}{6}c+\frac{3\times 3+2}{3}a+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Combine -\frac{1}{3}b and \frac{9}{2}b to get \frac{25}{6}b.
\frac{1}{12}a+\frac{25}{6}b-\frac{5}{6}c+\frac{9+2}{3}a+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Multiply 3 and 3 to get 9.
\frac{1}{12}a+\frac{25}{6}b-\frac{5}{6}c+\frac{11}{3}a+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Add 9 and 2 to get 11.
\frac{15}{4}a+\frac{25}{6}b-\frac{5}{6}c+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Combine \frac{1}{12}a and \frac{11}{3}a to get \frac{15}{4}a.
\frac{15}{4}a+\frac{25}{6}b-\frac{5}{6}c+\frac{3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Multiply 1 and 3 to get 3.
\frac{15}{4}a+\frac{25}{6}b-\frac{5}{6}c+\frac{5}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Add 3 and 2 to get 5.
\frac{15}{4}a+\frac{25}{6}b+\frac{5}{6}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Combine -\frac{5}{6}c and \frac{5}{3}c to get \frac{5}{6}c.
\frac{15}{4}a+\frac{25}{6}b+\frac{5}{6}c-\frac{2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Multiply 1 and 2 to get 2.
\frac{15}{4}a+\frac{25}{6}b+\frac{5}{6}c-\frac{3}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Add 2 and 1 to get 3.
\frac{9}{4}a+\frac{25}{6}b+\frac{5}{6}c+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Combine \frac{15}{4}a and -\frac{3}{2}a to get \frac{9}{4}a.
\frac{9}{4}a+\frac{13}{3}b+\frac{5}{6}c+\frac{9\times 2+1}{2}c
Combine \frac{25}{6}b and \frac{1}{6}b to get \frac{13}{3}b.
\frac{9}{4}a+\frac{13}{3}b+\frac{5}{6}c+\frac{18+1}{2}c
Multiply 9 and 2 to get 18.
\frac{9}{4}a+\frac{13}{3}b+\frac{5}{6}c+\frac{19}{2}c
Add 18 and 1 to get 19.
\frac{9}{4}a+\frac{13}{3}b+\frac{31}{3}c
Combine \frac{5}{6}c and \frac{19}{2}c to get \frac{31}{3}c.
\frac{1}{12}a-\frac{1}{3}b+\frac{8+1}{2}b-\frac{5}{6}c+\frac{3\times 3+2}{3}a+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Multiply 4 and 2 to get 8.
\frac{1}{12}a-\frac{1}{3}b+\frac{9}{2}b-\frac{5}{6}c+\frac{3\times 3+2}{3}a+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Add 8 and 1 to get 9.
\frac{1}{12}a+\frac{25}{6}b-\frac{5}{6}c+\frac{3\times 3+2}{3}a+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Combine -\frac{1}{3}b and \frac{9}{2}b to get \frac{25}{6}b.
\frac{1}{12}a+\frac{25}{6}b-\frac{5}{6}c+\frac{9+2}{3}a+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Multiply 3 and 3 to get 9.
\frac{1}{12}a+\frac{25}{6}b-\frac{5}{6}c+\frac{11}{3}a+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Add 9 and 2 to get 11.
\frac{15}{4}a+\frac{25}{6}b-\frac{5}{6}c+\frac{1\times 3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Combine \frac{1}{12}a and \frac{11}{3}a to get \frac{15}{4}a.
\frac{15}{4}a+\frac{25}{6}b-\frac{5}{6}c+\frac{3+2}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Multiply 1 and 3 to get 3.
\frac{15}{4}a+\frac{25}{6}b-\frac{5}{6}c+\frac{5}{3}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Add 3 and 2 to get 5.
\frac{15}{4}a+\frac{25}{6}b+\frac{5}{6}c-\frac{1\times 2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Combine -\frac{5}{6}c and \frac{5}{3}c to get \frac{5}{6}c.
\frac{15}{4}a+\frac{25}{6}b+\frac{5}{6}c-\frac{2+1}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Multiply 1 and 2 to get 2.
\frac{15}{4}a+\frac{25}{6}b+\frac{5}{6}c-\frac{3}{2}a+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Add 2 and 1 to get 3.
\frac{9}{4}a+\frac{25}{6}b+\frac{5}{6}c+\frac{1}{6}b+\frac{9\times 2+1}{2}c
Combine \frac{15}{4}a and -\frac{3}{2}a to get \frac{9}{4}a.
\frac{9}{4}a+\frac{13}{3}b+\frac{5}{6}c+\frac{9\times 2+1}{2}c
Combine \frac{25}{6}b and \frac{1}{6}b to get \frac{13}{3}b.
\frac{9}{4}a+\frac{13}{3}b+\frac{5}{6}c+\frac{18+1}{2}c
Multiply 9 and 2 to get 18.
\frac{9}{4}a+\frac{13}{3}b+\frac{5}{6}c+\frac{19}{2}c
Add 18 and 1 to get 19.
\frac{9}{4}a+\frac{13}{3}b+\frac{31}{3}c
Combine \frac{5}{6}c and \frac{19}{2}c to get \frac{31}{3}c.
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