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47 1/2 of what number is 190

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Kate200468idn
[tex]47 \frac{1}{2} \cdot x=190\\ \\ \frac{47\cdot2+1}{2} \cdotx=190\\ \\ \frac{95}{2} \cdot x=190\ /\cdot \frac{2}{95} \\\\x= \frac{190}{1} \cdot \frac{2}{95}\\ \\x=2\cdot2\\ \\x=4[/tex]
The word "of" is a substitution of the multiplicative operation, so re-writing your problem statement, we get:

47.5*x = 190

solving for x

x = 190/47.5 = 4

thus your number is 4
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