Question

- Divide the sum of 2×1/4 and 5×1/5 by the
Product of 2×1/4 and 2/3
​

Answer 1

1/2/2/3

1/3 is your answer

Answer 2

$\huge \sf \underline \red{Answer}$

$\sf \underline \purple{ \dfrac{894}{200}}$

$\huge \sf \underline \pink{Given : }$

• Divide the sum of 2¼ and 5 ⅕ by product of 2 ¼ and ⅔

$\sf \underline{now \: sum \: of \: 2 \dfrac{1}{4} and \: 5 \dfrac{1}{5}}$

$\sf {here}\begin{cases}&\sf{2 \dfrac{1}{4} = \dfrac{9}{4} } \\ \\ &\sf{5 \dfrac{1}{5} = \dfrac{26}{5} }\end{cases}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies{ \dfrac{9}{4} + \dfrac{26}{5}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies{ \dfrac{45 + 104}{20} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies{ \dfrac{149}{20}}$

$\sf \underline{Now \: from \: the \: question}$

$\sf \underline{product \: of \: 2 \dfrac{1}{2} \: and \: \dfrac{2}{3}}$

$\sf {here}\begin{cases}&\sf{2 \dfrac{1}{2} = \dfrac{5}{2} } \\ \\ &\sf{ \dfrac{2}{3} = \dfrac{2}{3} }\end{cases}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies{ \dfrac{5}{2} \times \dfrac{2}{3}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies{ \dfrac{10}{6} }$

$\sf \underline{Now \: division \: of \: \dfrac{149}{20} and \: \dfrac{10}{6} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf\implies{ \dfrac{ \frac{149}{20} }{ \frac{10}{6}} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf\implies{ \dfrac{149}{20} \times \dfrac{6}{10} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies{ \dfrac{894}{200}}$