Question

Renu bought two pieces of ribbon measuring 8*1/6m and 7*2/3m. She used 12*1/3m of it on her doll.How much ribbon is left with her?

Answer 1

Dear student
$$\begin{gathered} \mathrm{Total}\mathrm{length}\mathrm{of}\mathrm{ribbon}\mathrm{with}\mathrm{Renu}=\left(8\frac{1}{6}+7\frac{2}{3}\right)\mathrm{m} \\ =\left(\frac{\left(8\times 6\right)+1}{6}+\frac{\left(7\times 3\right)+2}{3}\right)\mathrm{m} \\ =\left(\frac{48+1}{6}+\frac{21+2}{3}\right)\mathrm{m} \\ =\left(\frac{49}{6}+\frac{23}{3}\right)\mathrm{m} \\ =\left(\frac{49+46}{6}\right)\mathrm{m} \\ =\frac{95}{6}\mathrm{m} \\ \mathrm{Ribbon}\mathrm{used}=12\frac{1}{3}=\frac{\left(12\times 3\right)+1}{3}=\frac{37}{3}\mathrm{m} \\ \mathrm{Ribbon}\mathrm{left}=\left(\frac{95}{6}-\frac{37}{3}\right)\mathrm{m} \\ =\left(\frac{95-74}{6}\right)\mathrm{m} \\ =\frac{21}{6}\mathrm{m} \end{gathered}$$
Regards