Evaluate
\frac{4b}{3}-\frac{a}{2}
Expand
\frac{4b}{3}-\frac{a}{2}
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\frac{1}{2}a+\frac{1}{2}\times 2b-\frac{1}{3}\left(3a-b\right)
Use the distributive property to multiply \frac{1}{2} by a+2b.
\frac{1}{2}a+b-\frac{1}{3}\left(3a-b\right)
Cancel out 2 and 2.
\frac{1}{2}a+b-\frac{1}{3}\times 3a-\frac{1}{3}\left(-1\right)b
Use the distributive property to multiply -\frac{1}{3} by 3a-b.
\frac{1}{2}a+b-a-\frac{1}{3}\left(-1\right)b
Cancel out 3 and 3.
\frac{1}{2}a+b-a+\frac{1}{3}b
Multiply -\frac{1}{3} and -1 to get \frac{1}{3}.
-\frac{1}{2}a+b+\frac{1}{3}b
Combine \frac{1}{2}a and -a to get -\frac{1}{2}a.
-\frac{1}{2}a+\frac{4}{3}b
Combine b and \frac{1}{3}b to get \frac{4}{3}b.
\frac{1}{2}a+\frac{1}{2}\times 2b-\frac{1}{3}\left(3a-b\right)
Use the distributive property to multiply \frac{1}{2} by a+2b.
\frac{1}{2}a+b-\frac{1}{3}\left(3a-b\right)
Cancel out 2 and 2.
\frac{1}{2}a+b-\frac{1}{3}\times 3a-\frac{1}{3}\left(-1\right)b
Use the distributive property to multiply -\frac{1}{3} by 3a-b.
\frac{1}{2}a+b-a-\frac{1}{3}\left(-1\right)b
Cancel out 3 and 3.
\frac{1}{2}a+b-a+\frac{1}{3}b
Multiply -\frac{1}{3} and -1 to get \frac{1}{3}.
-\frac{1}{2}a+b+\frac{1}{3}b
Combine \frac{1}{2}a and -a to get -\frac{1}{2}a.
-\frac{1}{2}a+\frac{4}{3}b
Combine b and \frac{1}{3}b to get \frac{4}{3}b.
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