Respuesta :

Answer:

21.75

Step-by-step explanation:

The given expression is

[tex]20.25-9\dfrac{1}{2}+11[/tex]

We need to find the simplified form of the give expression.

[tex](20.25+11)-9\dfrac{1}{2}[/tex]

[tex]31.25-9\dfrac{1}{2}[/tex]

Now simplify the mixed fraction.

[tex]31.25-\dfrac{2(9)+1}{2}[/tex]

[tex]31.25-\dfrac{18+1}{2}[/tex]

[tex]31.25-\dfrac{19}{2}[/tex]

Taking LCM we get

[tex]\dfrac{2(31.25)-19}{2}[/tex]

[tex]\dfrac{62.5-19}{2}[/tex]

[tex]\dfrac{43.5}{2}[/tex]

[tex]21.75[/tex]

Therefore, the simplified form of the given expression is 21.75.

abidemiokin

The required simplified form of the expression is 21.75

Given the expression

[tex]20.25 - 9 \frac{1}{2} + 11[/tex]

This can also be expressed as:

[tex]= 20.25 + 11 - 9\frac{1}{2} \\= 20.25 + 11 - 9.5\\= 31.25 - 9.5[/tex]

Express as a fraction:

[tex]=\dfrac{3125}{100}-\frac{95}{10}\\=\dfrac{3125-95(10)}{100}\\=\dfrac{3125-950}{100}\\= \dfrac{2175}{100}\\=21.75[/tex]

Hence the required simplified form of the expression is 21.75

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