(1) [tex]12\frac{1}{2} -9\frac{1}{4}[/tex]
Let us convert mixed fraction into improper fraction.
[tex]$12\frac{1}{2} -9\frac{1}{4}=\frac{25}{2} -\frac{37}{4}[/tex]
Make the denominator same.
[tex]$=\frac{25\times2}{2\times2} -\frac{37}{4}[/tex]
[tex]$=\frac{50}{4} -\frac{37}{4}[/tex]
[tex]$=\frac{13}{4}[/tex]
Now convert improper into mixed fraction.
[tex]$12\frac{1}{2} -9\frac{1}{4}=3\frac{1}{4}[/tex]
(2) [tex]5\frac{3}{4}-2\frac{5}{12}[/tex]
[tex]$5\frac{3}{4}-2\frac{5}{12}=\frac{23}{4}-\frac{29}{12}[/tex]
Make the denominator same.
[tex]$=\frac{23\times3}{4\times3}-\frac{29}{12}[/tex]
[tex]$=\frac{69}{12}-\frac{29}{12}[/tex]
[tex]$=\frac{40}{12}[/tex]
[tex]$5\frac{3}{4}-2\frac{5}{12}=3\frac{4}{12}=3\frac{1}{3}[/tex]
(3) [tex]7\frac{1}{5}-3\frac{7}{10}[/tex]
[tex]$7\frac{1}{5}-3\frac{7}{10}=\frac{36}{5}-\frac{37}{10}[/tex]
Make the denominator same.
[tex]$=\frac{36\times2}{5\times2}-\frac{37}{10}[/tex]
[tex]$=\frac{72}{10}-\frac{37}{10}[/tex]
[tex]$=\frac{35}{10}[/tex]
[tex]$7\frac{1}{5}-3\frac{7}{10}=3\frac{5}{10}=3\frac{1}{2}[/tex]
(4) [tex]11\frac{2}{3}-8\frac{1}{2}[/tex]
[tex]$11\frac{2}{3}-8\frac{1}{2}=\frac{35}{3}-\frac{17}{2}[/tex]
[tex]$=\frac{35\times2}{3\times2}-\frac{17\times3}{2\times3}[/tex]
[tex]$=\frac{70}{6}-\frac{51}{6}[/tex]
[tex]$=\frac{19}{6}[/tex]
[tex]$11\frac{2}{3}-8\frac{1}{2}=3\frac{1}{6}[/tex]
