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\frac{9}{4}a+b+\frac{5}{4}b
Combine a and \frac{5}{4}a to get \frac{9}{4}a.
\frac{9}{4}a+\frac{9}{4}b
Combine b and \frac{5}{4}b to get \frac{9}{4}b.
\frac{4a+4b+5a+5b}{4}
Factor out \frac{1}{4}.
9a+9b
Consider 4a+4b+5a+5b. Multiply and combine like terms.
9\left(a+b\right)
Consider 9a+9b. Factor out 9.
\frac{9\left(a+b\right)}{4}
Rewrite the complete factored expression.