Question

সরল কর : $[(6.27\times0.5)\div$$\{(0.5\times0.75)\times8.36\}]\div$$\{(0.25\times0.1)\times$$(0.75\times21.\dot3)\times0.5\}$

গণিত : ৯ম-১০ম শ্রেণি : বাস্তব সংখ্যা : সমাধান - পেতে এখানে ক্লিক করুন।

Answer 1

$[(6.27\times0.5)\div$$\{(0.5\times0.75)\times8.36\}]\div$$\{(0.25\times0.1)\times$$(0.75\times21.\dot3)\times0.5\}$

$=[(\frac{627}{100}\times\frac5{10})\div$$\{(\frac5{10}\times\frac{75}{100})\times\frac{836}{100}\}]\div$$\{(\frac{25}{100}\times\frac1{10})\times$$(\frac{75}{100}\times\frac{213-21}9)\times\frac5{10}\}$

$=[(\frac{627}{100}\times\frac5{10})\div$$\{(\frac5{10}\times\frac{75}{100})\times\frac{836}{100}\}]\div$$\{(\frac{25}{100}\times\frac1{10})\times$$(\frac{75}{100}\times\frac{192}9)\times\frac5{10}\}$

$=[(\frac{627}{100}\times\frac5{2\times5})\div$$\{(\frac5{2\times5}\times\frac{3\times25}{4\times25})\times\frac{209\times4}{25\times4}\}]\div$$\{(\frac{25}{4\times25}\times\frac1{10})\times$$(\frac{3\times25}{4\times25}\times\frac{64\times3}{3\times3})\times\frac5{2\times5}\}$

$=[(\frac{627}{100}\times\frac12)\div\{(\frac12\times\frac34)\times\frac{209}{25}\}]\div$$\{(\frac14\times\frac1{10})\times(\frac34\times\frac{64}3)\times\frac12\}$

$=[(\frac{627}{100}\times\frac12)\div\{(\frac12\times\frac34)\times\frac{209}{25}\}]\div$$\{(\frac14\times\frac1{10})\times(\frac{\bcancel3}{\cancel4}\times\frac{\displaystyle\overset{16}{\cancel{64}}}{\bcancel3})\times\frac12\}$

$=\left[\frac{627}{200}\div\left\{\frac38\times\frac{209}{25}\right\}\right]\div$$\left\{\frac1{40}\times16\times\frac12\right\}$

$=\left[\frac{627}{200}\div\frac{627}{200}\right]\div$$\left\{\frac1{\displaystyle\underset{5}{\cancel{40}}}\times\overset{\cancel8}{\bcancel{16}}\times\frac1{\bcancel2}\right\}$

$=\left[\frac{627}{200}\times\frac{200}{627}\right]\div\frac1{5}$

$=1\div\frac1{5}$

$=1\times\frac{5}1$

$=5$

নির্ণেয় সরল সমাধান $5$