we have to convert the mixed fractions to improper fraction and do the arithmetic as follows:
[tex]\frac{25}{2}-(-\frac{9}{2} ) =\frac{25}{2} +\frac{9}{2}=\frac{34}{2} =17[/tex]
[tex]12\frac{1}{2} -(-4\frac{1}{2} )=?[/tex]
The fractions are represented in mix fractions. Therefore, let's convert it it to improper fractions before doing the arithmetic.
[tex]12\frac{1}{2} = \frac{25}{2}[/tex]
[tex]-4\frac{1}{2} = -\frac{9}{2}[/tex]
Therefore,
[tex]\frac{25}{2}-(-\frac{9}{2} ) =\frac{25}{2} +\frac{9}{2}[/tex]
Note - × - = +
Therefore,
[tex]\frac{25}{2} +\frac{9}{2} =\frac{25+9}{2}[/tex]
[tex]\frac{25+9}{2} = \frac{34}{2}=17[/tex]
Therefore, the arithmetic is 17
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