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27 votes
Simplify this expression 20.25 - 9 1/2 +11 A. -1/4 b. 18.75 C 21 3/4 D. 40.75

User Jeff Bennett
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1 Answer

14 votes
14 votes

The expression we need to simplify is


20.25-9(1)/(2)+11

First, let us convert the mixed number to a fraction:


\begin{gathered} 9(1)/(2)=9+(1)/(2) \\ \end{gathered}
\rightarrow9\cdot(2)/(2)+(1)/(2)
(19)/(2)

Now our expression has become


20.25-(19)/(2)+11

Adding 20.25 and 11 gives


31.25-(19)/(2)
\rightarrow31.25\cdot(2)/(2)-(19)/(2)
\rightarrow(62.5)/(2)-(19)/(2)
\rightarrow(43.5)/(2)
\rightarrow21.75.

User Hutch
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2.9k points