Question

Sohini bought $4\frac{1}{2}\mathrm{m}$ of cloth for her kurta and $2\frac{2}{3}\mathrm{m}$ of cloth for her pyjamas. Ho much cloth did she purchase in all?

Answer 1

Total cloth purchased by Sohini = Cloth for kurta + Cloth for pyjamas
Thus, we have:
$\left(4\frac{1}{2}+2\frac{2}{3}\right)\mathrm{m}=\left(\frac{9}{2}+\frac{8}{3}\right)\mathrm{m}(\mathrm{L}.\mathrm{C}.\mathrm{M}.\mathrm{of}2\mathrm{and}3=(2\times 3)=6)=\left(\frac{\left(27+16\right)}{6}\right)\mathrm{m}\left\{\left[6÷2=3,3\times 9=27\right]\mathrm{and}\left[6÷3=2,2\times 8=16\right]\right\}=\left(\frac{43}{6}\right)\mathrm{m}=7\frac{1}{6}\mathrm{m}$
$\therefore$ Total length of cloth purchased = $7\frac{1}{6}m$