a)
[tex] \frac{5 \times 8 + 3}{8} - \frac{3 \times 5 + 6}{5} [/tex]
[tex] \frac{43}{8} - \frac{21}{5} [/tex]
[tex] \frac{43 \times 5}{40} - \frac{21 \times 8}{40} [/tex]
[tex] \frac{215}{40} - \frac{168}{40} [/tex]
[tex] \frac{(215 - 168)}{40} [/tex]
[tex] \frac{47}{40} [/tex]
[tex] \frac{1 \times 40 + 7}{40} [/tex]
[tex]1 \frac{7}{40} = 1 \frac{7}{20} [/tex]
b)
[tex] \frac{4 \times 63 + 29}{63} + \frac{1}{3} [/tex]
[tex] \frac{281}{63} + \frac{1}{3} [/tex]
[tex]( \frac{281 + 21}{63} )[/tex]
[tex] \frac{302}{63} [/tex]
[tex]4 \frac{50}{63} = 4 \frac{5}{9} [/tex]
c)
[tex] \frac{3 \times 9 + 2}{9} \div \frac{19 \times 3 + 1}{3} [/tex]
[tex] \frac{29}{9} \div \frac{58}{3} [/tex]
[tex] \frac{3}{348} [/tex]
[tex] \frac{1 \times 3}{116 \times 3} [/tex]
[tex] \frac{1}{116} [/tex]
