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Differentiate w.r.t. a
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\frac{5\times 22a}{45b}-\frac{9\times 11a}{45b}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9b and 5b is 45b. Multiply \frac{22a}{9b} times \frac{5}{5}. Multiply \frac{11a}{5b} times \frac{9}{9}.
\frac{5\times 22a-9\times 11a}{45b}
Since \frac{5\times 22a}{45b} and \frac{9\times 11a}{45b} have the same denominator, subtract them by subtracting their numerators.
\frac{110a-99a}{45b}
Do the multiplications in 5\times 22a-9\times 11a.
\frac{11a}{45b}
Combine like terms in 110a-99a.