Question Number 104294 by Anindita last updated on 20/Jul/20
$$\mathrm{1}.\:\:\frac{\mathrm{1}\frac{\mathrm{1}}{\mathrm{2}}+\mathrm{2}\frac{\mathrm{6}}{\mathrm{7}}}{\mathrm{2}\frac{\mathrm{2}}{\mathrm{3}}−\mathrm{3}\frac{\mathrm{4}}{\mathrm{5}}}=? \\ $$$$\mathrm{2}.\:\:\mathrm{4}×\Pi×\Pi=? \\ $$$$\mathrm{3}.\:\:\boldsymbol{\mathrm{Transfer}}\:\boldsymbol{\mathrm{into}}\:\boldsymbol{\mathrm{fractions}}: \\ $$$$\:\:\:\:\:\:\mathrm{5}.\overset{.} {\mathrm{8}}\overset{.} {\mathrm{9}},\:\mathrm{9}.\overset{.} {\mathrm{6}},\:\mathrm{78}.\mathrm{5}\overset{.} {\mathrm{7}}\overset{.} {\mathrm{8}} \\ $$
Answered by Ritu Jain last updated on 21/Jul/20
$$\left.\mathrm{1}\right) \\ $$$$\frac{\frac{\mathrm{3}}{\mathrm{2}}+\frac{\mathrm{20}}{\mathrm{7}}}{\frac{\mathrm{8}}{\mathrm{3}}−\frac{\mathrm{19}}{\mathrm{5}}}\:=\:\frac{\frac{\mathrm{61}}{\mathrm{14}}}{\frac{−\mathrm{17}}{\mathrm{15}}}\:=\:\frac{\mathrm{61}}{\mathrm{14}}×\frac{\mathrm{15}}{−\mathrm{17}}\:=\:−\frac{\mathrm{915}}{\mathrm{238}} \\ $$