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\frac{67}{12}-\frac{25}{4C}
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\frac{67}{12}-\frac{25}{4C}
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\frac{12+1}{3}-\frac{\frac{2\times 12+6}{12}}{C}\times \frac{2\times 2+1}{2}+\frac{1\times 4+1}{4}
Multiply 4 and 3 to get 12.
\frac{13}{3}-\frac{\frac{2\times 12+6}{12}}{C}\times \frac{2\times 2+1}{2}+\frac{1\times 4+1}{4}
Add 12 and 1 to get 13.
\frac{13}{3}-\frac{2\times 12+6}{12C}\times \frac{2\times 2+1}{2}+\frac{1\times 4+1}{4}
Express \frac{\frac{2\times 12+6}{12}}{C} as a single fraction.
\frac{13}{3}-\frac{24+6}{12C}\times \frac{2\times 2+1}{2}+\frac{1\times 4+1}{4}
Multiply 2 and 12 to get 24.
\frac{13}{3}-\frac{30}{12C}\times \frac{2\times 2+1}{2}+\frac{1\times 4+1}{4}
Add 24 and 6 to get 30.
\frac{13}{3}-\frac{30}{12C}\times \frac{4+1}{2}+\frac{1\times 4+1}{4}
Multiply 2 and 2 to get 4.
\frac{13}{3}-\frac{30}{12C}\times \frac{5}{2}+\frac{1\times 4+1}{4}
Add 4 and 1 to get 5.
\frac{13}{3}-\frac{30\times 5}{12C\times 2}+\frac{1\times 4+1}{4}
Multiply \frac{30}{12C} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{13}{3}-\frac{5\times 5}{2\times 2C}+\frac{1\times 4+1}{4}
Cancel out 6 in both numerator and denominator.
\frac{13}{3}-\frac{25}{2\times 2C}+\frac{1\times 4+1}{4}
Multiply 5 and 5 to get 25.
\frac{13}{3}-\frac{25}{4C}+\frac{1\times 4+1}{4}
Multiply 2 and 2 to get 4.
\frac{13\times 4C}{12C}-\frac{25\times 3}{12C}+\frac{1\times 4+1}{4}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 4C is 12C. Multiply \frac{13}{3} times \frac{4C}{4C}. Multiply \frac{25}{4C} times \frac{3}{3}.
\frac{13\times 4C-25\times 3}{12C}+\frac{1\times 4+1}{4}
Since \frac{13\times 4C}{12C} and \frac{25\times 3}{12C} have the same denominator, subtract them by subtracting their numerators.
\frac{52C-75}{12C}+\frac{1\times 4+1}{4}
Do the multiplications in 13\times 4C-25\times 3.
\frac{52C-75}{12C}+\frac{4+1}{4}
Multiply 1 and 4 to get 4.
\frac{52C-75}{12C}+\frac{5}{4}
Add 4 and 1 to get 5.
\frac{52C-75}{12C}+\frac{5\times 3C}{12C}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 12C and 4 is 12C. Multiply \frac{5}{4} times \frac{3C}{3C}.
\frac{52C-75+5\times 3C}{12C}
Since \frac{52C-75}{12C} and \frac{5\times 3C}{12C} have the same denominator, add them by adding their numerators.
\frac{52C-75+15C}{12C}
Do the multiplications in 52C-75+5\times 3C.
\frac{67C-75}{12C}
Combine like terms in 52C-75+15C.
\frac{12+1}{3}-\frac{\frac{2\times 12+6}{12}}{C}\times \frac{2\times 2+1}{2}+\frac{1\times 4+1}{4}
Multiply 4 and 3 to get 12.
\frac{13}{3}-\frac{\frac{2\times 12+6}{12}}{C}\times \frac{2\times 2+1}{2}+\frac{1\times 4+1}{4}
Add 12 and 1 to get 13.
\frac{13}{3}-\frac{2\times 12+6}{12C}\times \frac{2\times 2+1}{2}+\frac{1\times 4+1}{4}
Express \frac{\frac{2\times 12+6}{12}}{C} as a single fraction.
\frac{13}{3}-\frac{24+6}{12C}\times \frac{2\times 2+1}{2}+\frac{1\times 4+1}{4}
Multiply 2 and 12 to get 24.
\frac{13}{3}-\frac{30}{12C}\times \frac{2\times 2+1}{2}+\frac{1\times 4+1}{4}
Add 24 and 6 to get 30.
\frac{13}{3}-\frac{30}{12C}\times \frac{4+1}{2}+\frac{1\times 4+1}{4}
Multiply 2 and 2 to get 4.
\frac{13}{3}-\frac{30}{12C}\times \frac{5}{2}+\frac{1\times 4+1}{4}
Add 4 and 1 to get 5.
\frac{13}{3}-\frac{30\times 5}{12C\times 2}+\frac{1\times 4+1}{4}
Multiply \frac{30}{12C} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{13}{3}-\frac{5\times 5}{2\times 2C}+\frac{1\times 4+1}{4}
Cancel out 6 in both numerator and denominator.
\frac{13}{3}-\frac{25}{2\times 2C}+\frac{1\times 4+1}{4}
Multiply 5 and 5 to get 25.
\frac{13}{3}-\frac{25}{4C}+\frac{1\times 4+1}{4}
Multiply 2 and 2 to get 4.
\frac{13\times 4C}{12C}-\frac{25\times 3}{12C}+\frac{1\times 4+1}{4}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 4C is 12C. Multiply \frac{13}{3} times \frac{4C}{4C}. Multiply \frac{25}{4C} times \frac{3}{3}.
\frac{13\times 4C-25\times 3}{12C}+\frac{1\times 4+1}{4}
Since \frac{13\times 4C}{12C} and \frac{25\times 3}{12C} have the same denominator, subtract them by subtracting their numerators.
\frac{52C-75}{12C}+\frac{1\times 4+1}{4}
Do the multiplications in 13\times 4C-25\times 3.
\frac{52C-75}{12C}+\frac{4+1}{4}
Multiply 1 and 4 to get 4.
\frac{52C-75}{12C}+\frac{5}{4}
Add 4 and 1 to get 5.
\frac{52C-75}{12C}+\frac{5\times 3C}{12C}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 12C and 4 is 12C. Multiply \frac{5}{4} times \frac{3C}{3C}.
\frac{52C-75+5\times 3C}{12C}
Since \frac{52C-75}{12C} and \frac{5\times 3C}{12C} have the same denominator, add them by adding their numerators.
\frac{52C-75+15C}{12C}
Do the multiplications in 52C-75+5\times 3C.
\frac{67C-75}{12C}
Combine like terms in 52C-75+15C.
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Limits
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