Writing expressions as one fraction

Writing expressions as one fraction

Secondary 2
TGM Original Questions

Express each of the following as a single fraction in its simplest form.

  1. \(3+\frac{3p+2}{2p-1}\)
  2. \(\frac{m}{3m-2}+\frac34\)
  3. \(\frac4{t+1}+\frac3{2t-1}\)
  4. \(\frac5{q-r}-\frac2q\)
  5. \(\frac7{2r+1}-\frac3{r-2}\)
  6. \(\frac3x+\frac2{5x}-\frac1{2x}\)
  7. \(\frac{5p}{6y}+\frac{p}{4y}-\frac{2+p}{3y}\)
  8. \(\frac{m+n}{3p}+\frac{2m-n}{4p}-\frac{m+5n}{6p}\)

Solution:

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Answer:(a) \(\frac{9p-1}{2p-1}\); (b) \(\frac{13m-6}{4(3m-2)}\); (c) \(\frac{11t-1}{(t+1)(2t-1)}\); (d) \(\frac{3q+2r}{q(q-r)}\); (e) \(\frac{r-17}{(2r+1)(r-2)}\); (f) \(\frac{29}{10x}\); (g) \(\frac{9p-8}{12y}\); (h) \(\frac{8m-9n}{12p}\).

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