{[(1-3/8+4/5-11/20)*(3/14+frac{5}{7}-1+frac{3}{2})]^2:(-frac{2}{2}+frac{2}{4})^2}^2:(frac{5}{6}+frac{1}{2}-frac{1}{12})^2 সমাধান কৰক

$$\{ [ ( 1 - \frac { 3 } { 8 } + \frac { 4 } { 5 } - \frac { 11 } { 20 } ) \cdot ( \frac { 3 } { 14 } + \frac { 5 } { 7 } - 1 + \frac { 3 } { 2 } ) ] ^ { 2 } : ( - \frac { 2 } { 2 } + \frac { 2 } { 4 } ) ^ { 2 } \} ^ { 2 } : ( \frac { 5 } { 6 } + \frac { 1 } { 2 } - \frac { 1 } { 12 } ) ^ { 2 }$$

মূল্যায়ন

$$25$$

সমাধান পদক্ষেপসমূহ

1 লাভ কৰিবলৈ 2ৰ দ্বাৰা 2 হৰণ কৰক৷

$$\frac{\left(\frac{\left(\left(1-\frac{3}{8}+\frac{4}{5}-\frac{11}{20}\right)\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{5}{8} লাভ কৰিবলৈ 1-ৰ পৰা \frac{3}{8} বিয়োগ কৰক৷

$$\frac{\left(\frac{\left(\left(\frac{5}{8}+\frac{4}{5}-\frac{11}{20}\right)\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{57}{40} লাভ কৰিবৰ বাবে \frac{5}{8} আৰু \frac{4}{5} যোগ কৰক৷

$$\frac{\left(\frac{\left(\left(\frac{57}{40}-\frac{11}{20}\right)\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{7}{8} লাভ কৰিবলৈ \frac{57}{40}-ৰ পৰা \frac{11}{20} বিয়োগ কৰক৷

$$\frac{\left(\frac{\left(\frac{7}{8}\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{13}{14} লাভ কৰিবৰ বাবে \frac{3}{14} আৰু \frac{5}{7} যোগ কৰক৷

$$\frac{\left(\frac{\left(\frac{7}{8}\left(\frac{13}{14}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

-\frac{1}{14} লাভ কৰিবলৈ \frac{13}{14}-ৰ পৰা 1 বিয়োগ কৰক৷

$$\frac{\left(\frac{\left(\frac{7}{8}\left(-\frac{1}{14}+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{10}{7} লাভ কৰিবৰ বাবে -\frac{1}{14} আৰু \frac{3}{2} যোগ কৰক৷

$$\frac{\left(\frac{\left(\frac{7}{8}\times \frac{10}{7}\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{5}{4} লাভ কৰিবৰ বাবে \frac{7}{8} আৰু \frac{10}{7} পুৰণ কৰক৷

$$\frac{\left(\frac{\left(\frac{5}{4}\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

2ৰ পাৱাৰ \frac{5}{4}ক গণনা কৰক আৰু \frac{25}{16} লাভ কৰক৷

$$\frac{\left(\frac{\frac{25}{16}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

2 এক্সট্ৰেক্ট আৰু বাতিল কৰি \frac{2}{4} ভগ্নাংশক নিম্নতম পদলৈ হ্ৰাস কৰক।

$$\frac{\left(\frac{\frac{25}{16}}{\left(-1+\frac{1}{2}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

-\frac{1}{2} লাভ কৰিবৰ বাবে -1 আৰু \frac{1}{2} যোগ কৰক৷

$$\frac{\left(\frac{\frac{25}{16}}{\left(-\frac{1}{2}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

2ৰ পাৱাৰ -\frac{1}{2}ক গণনা কৰক আৰু \frac{1}{4} লাভ কৰক৷

$$\frac{\left(\frac{\frac{25}{16}}{\frac{1}{4}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{1}{4}-ৰ ব্যতিক্ৰমৰ দ্বাৰা \frac{25}{16} পুৰণ কৰি \frac{1}{4}-ৰ দ্বাৰা \frac{25}{16} হৰণ কৰক৷

$$\frac{\left(\frac{25}{16}\times 4\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{25}{4} লাভ কৰিবৰ বাবে \frac{25}{16} আৰু 4 পুৰণ কৰক৷

$$\frac{\left(\frac{25}{4}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

2ৰ পাৱাৰ \frac{25}{4}ক গণনা কৰক আৰু \frac{625}{16} লাভ কৰক৷

$$\frac{\frac{625}{16}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{4}{3} লাভ কৰিবৰ বাবে \frac{5}{6} আৰু \frac{1}{2} যোগ কৰক৷

$$\frac{\frac{625}{16}}{\left(\frac{4}{3}-\frac{1}{12}\right)^{2}}$$

\frac{5}{4} লাভ কৰিবলৈ \frac{4}{3}-ৰ পৰা \frac{1}{12} বিয়োগ কৰক৷

$$\frac{\frac{625}{16}}{\left(\frac{5}{4}\right)^{2}}$$

2ৰ পাৱাৰ \frac{5}{4}ক গণনা কৰক আৰু \frac{25}{16} লাভ কৰক৷

$$\frac{\frac{625}{16}}{\frac{25}{16}}$$

\frac{25}{16}-ৰ ব্যতিক্ৰমৰ দ্বাৰা \frac{625}{16} পুৰণ কৰি \frac{25}{16}-ৰ দ্বাৰা \frac{625}{16} হৰণ কৰক৷

$$\frac{625}{16}\times \frac{16}{25}$$

25 লাভ কৰিবৰ বাবে \frac{625}{16} আৰু \frac{16}{25} পুৰণ কৰক৷

$$25$$

কাৰক

$$5^{2}$$