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\frac{\frac{4+3}{4}}{3}+\frac{1}{4}=c
Multiply 1 and 4 to get 4.
\frac{\frac{7}{4}}{3}+\frac{1}{4}=c
Add 4 and 3 to get 7.
\frac{7}{4\times 3}+\frac{1}{4}=c
Express \frac{\frac{7}{4}}{3} as a single fraction.
\frac{7}{12}+\frac{1}{4}=c
Multiply 4 and 3 to get 12.
\frac{7}{12}+\frac{3}{12}=c
Least common multiple of 12 and 4 is 12. Convert \frac{7}{12} and \frac{1}{4} to fractions with denominator 12.
\frac{7+3}{12}=c
Since \frac{7}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.
\frac{10}{12}=c
Add 7 and 3 to get 10.
\frac{5}{6}=c
Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.
c=\frac{5}{6}
Swap sides so that all variable terms are on the left hand side.