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\frac{3}{2}\times 10^{2}
Multiply \frac{1}{2} and 3 to get \frac{3}{2}.
\frac{3}{2}\times 100
Calculate 10 to the power of 2 and get 100.
\frac{3\times 100}{2}
Express \frac{3}{2}\times 100 as a single fraction.
\frac{300}{2}
Multiply 3 and 100 to get 300.
150
Divide 300 by 2 to get 150.