-(1/3+frac{7/9)^{2}}{(1-1/2)^{2}*(-2)^3-3/2}+[-(-frac{1}{6})^2+frac{frac{1}{4}-frac{1}{5}}{(1-frac{2}{5})^2}]^2-frac{frac{1}{3}-frac{2}{9}}{frac{1}{8}-frac{15}{8}}= সমাধান কৰক

$$- \frac { ( \frac { 1 } { 3 } + \frac { 7 } { 9 } ) ^ { 2 } } { ( 1 - \frac { 1 } { 2 } ) ^ { 2 } \cdot ( - 2 ) ^ { 3 } - \frac { 3 } { 2 } } + [ - ( - \frac { 1 } { 6 } ) ^ { 2 } + \frac { \frac { 1 } { 4 } - \frac { 1 } { 5 } } { ( 1 - \frac { 2 } { 5 } ) ^ { 2 } } ] ^ { 2 } - \frac { \frac { 1 } { 3 } - \frac { 2 } { 9 } } { \frac { 1 } { 8 } - \frac { 15 } { 8 } } =$$

মূল্যায়ন

$$\frac{3}{7}\approx 0.428571429$$

সমাধান পদক্ষেপসমূহ

\frac{10}{9} লাভ কৰিবৰ বাবে \frac{1}{3} আৰু \frac{7}{9} যোগ কৰক৷

$$-\frac{\left(\frac{10}{9}\right)^{2}}{\left(1-\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

2ৰ পাৱাৰ \frac{10}{9}ক গণনা কৰক আৰু \frac{100}{81} লাভ কৰক৷

$$-\frac{\frac{100}{81}}{\left(1-\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

\frac{1}{2} লাভ কৰিবলৈ 1-ৰ পৰা \frac{1}{2} বিয়োগ কৰক৷

$$-\frac{\frac{100}{81}}{\left(\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

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

$$-\frac{\frac{100}{81}}{\frac{1}{4}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

3ৰ পাৱাৰ -2ক গণনা কৰক আৰু -8 লাভ কৰক৷

$$-\frac{\frac{100}{81}}{\frac{1}{4}\left(-8\right)-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

-2 লাভ কৰিবৰ বাবে \frac{1}{4} আৰু -8 পুৰণ কৰক৷

$$-\frac{\frac{100}{81}}{-2-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

-\frac{7}{2} লাভ কৰিবলৈ -2-ৰ পৰা \frac{3}{2} বিয়োগ কৰক৷

$$-\frac{\frac{100}{81}}{-\frac{7}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

-\frac{7}{2}-ৰ ব্যতিক্ৰমৰ দ্বাৰা \frac{100}{81} পুৰণ কৰি -\frac{7}{2}-ৰ দ্বাৰা \frac{100}{81} হৰণ কৰক৷

$$-\frac{100}{81}\left(-\frac{2}{7}\right)+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

-\frac{200}{567} লাভ কৰিবৰ বাবে \frac{100}{81} আৰু -\frac{2}{7} পুৰণ কৰক৷

$$-\left(-\frac{200}{567}\right)+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

-\frac{200}{567}ৰ বিপৰীত হৈছে \frac{200}{567}৷

$$\frac{200}{567}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

2ৰ পাৱাৰ -\frac{1}{6}ক গণনা কৰক আৰু \frac{1}{36} লাভ কৰক৷

$$\frac{200}{567}+\left(-\frac{1}{36}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

\frac{1}{20} লাভ কৰিবলৈ \frac{1}{4}-ৰ পৰা \frac{1}{5} বিয়োগ কৰক৷

$$\frac{200}{567}+\left(-\frac{1}{36}+\frac{\frac{1}{20}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

\frac{3}{5} লাভ কৰিবলৈ 1-ৰ পৰা \frac{2}{5} বিয়োগ কৰক৷

$$\frac{200}{567}+\left(-\frac{1}{36}+\frac{\frac{1}{20}}{\left(\frac{3}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

2ৰ পাৱাৰ \frac{3}{5}ক গণনা কৰক আৰু \frac{9}{25} লাভ কৰক৷

$$\frac{200}{567}+\left(-\frac{1}{36}+\frac{\frac{1}{20}}{\frac{9}{25}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

\frac{9}{25}-ৰ ব্যতিক্ৰমৰ দ্বাৰা \frac{1}{20} পুৰণ কৰি \frac{9}{25}-ৰ দ্বাৰা \frac{1}{20} হৰণ কৰক৷

$$\frac{200}{567}+\left(-\frac{1}{36}+\frac{1}{20}\times \frac{25}{9}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

\frac{5}{36} লাভ কৰিবৰ বাবে \frac{1}{20} আৰু \frac{25}{9} পুৰণ কৰক৷

$$\frac{200}{567}+\left(-\frac{1}{36}+\frac{5}{36}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

\frac{1}{9} লাভ কৰিবৰ বাবে -\frac{1}{36} আৰু \frac{5}{36} যোগ কৰক৷

$$\frac{200}{567}+\left(\frac{1}{9}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

2ৰ পাৱাৰ \frac{1}{9}ক গণনা কৰক আৰু \frac{1}{81} লাভ কৰক৷

$$\frac{200}{567}+\frac{1}{81}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

\frac{23}{63} লাভ কৰিবৰ বাবে \frac{200}{567} আৰু \frac{1}{81} যোগ কৰক৷

$$\frac{23}{63}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

\frac{1}{9} লাভ কৰিবলৈ \frac{1}{3}-ৰ পৰা \frac{2}{9} বিয়োগ কৰক৷

$$\frac{23}{63}-\frac{\frac{1}{9}}{\frac{1}{8}-\frac{15}{8}}$$

-\frac{7}{4} লাভ কৰিবলৈ \frac{1}{8}-ৰ পৰা \frac{15}{8} বিয়োগ কৰক৷

$$\frac{23}{63}-\frac{\frac{1}{9}}{-\frac{7}{4}}$$

-\frac{7}{4}-ৰ ব্যতিক্ৰমৰ দ্বাৰা \frac{1}{9} পুৰণ কৰি -\frac{7}{4}-ৰ দ্বাৰা \frac{1}{9} হৰণ কৰক৷

$$\frac{23}{63}-\frac{1}{9}\left(-\frac{4}{7}\right)$$

-\frac{4}{63} লাভ কৰিবৰ বাবে \frac{1}{9} আৰু -\frac{4}{7} পুৰণ কৰক৷

$$\frac{23}{63}-\left(-\frac{4}{63}\right)$$

-\frac{4}{63}ৰ বিপৰীত হৈছে \frac{4}{63}৷

$$\frac{23}{63}+\frac{4}{63}$$

\frac{3}{7} লাভ কৰিবৰ বাবে \frac{23}{63} আৰু \frac{4}{63} যোগ কৰক৷

$$\frac{3}{7}$$

কাৰক

$$\frac{3}{7} = 0.42857142857142855$$