35*1-1/(1.035)^36/0.035+1000/(1.035)^30 का समाधान करें

$$35 \times \frac { 1 - \frac { 1 } { ( 1.035 ) ^ { 36 } } } { 0.035 } + \frac { 1000 } { ( 1.035 ) ^ { 30 } }$$

मूल्यांकन करें

$$\frac{252854787844543599109212979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}\approx 1066.445694024$$

हल करने वाले चरण

36 की घात की 1.035 से गणना करें और 3.450266111455967907325786350602725936443778990709405243289294726555537040915296110339113511145114898681640625 प्राप्त करें.

$$35\times \frac{1-\frac{1}{3.450266111455967907325786350602725936443778990709405243289294726555537040915296110339113511145114898681640625}}{0.035}+\frac{1000}{1.035^{30}}$$

अंश और हर दोनों 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 से गुणा करके \frac{1}{3.450266111455967907325786350602725936443778990709405243289294726555537040915296110339113511145114898681640625} को विस्तृत करें.

$$35\times \frac{1-\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{3450266111455967907325786350602725936443778990709405243289294726555537040915296110339113511145114898681640625}}{0.035}+\frac{1000}{1.035^{30}}$$

14551915228366851806640625 को निकालकर और रद्द करके भिन्न \frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{3450266111455967907325786350602725936443778990709405243289294726555537040915296110339113511145114898681640625} को न्यूनतम पदों तक कम करें.

$$35\times \frac{1-\frac{68719476736000000000000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}}{0.035}+\frac{1000}{1.035^{30}}$$

1 को भिन्न \frac{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} में रूपांतरित करें.

$$35\times \frac{\frac{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}-\frac{68719476736000000000000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}}{0.035}+\frac{1000}{1.035^{30}}$$

चूँकि \frac{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} और \frac{68719476736000000000000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} का एक ही भाजक है, इसलिए उनके भाजकों को घटाकर उन्हें घटाएँ.

$$35\times \frac{\frac{237100481779207569695836979093150364567632084923980533752615109079380709095164971201-68719476736000000000000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}}{0.035}+\frac{1000}{1.035^{30}}$$

168381005043207569695836979093150364567632084923980533752615109079380709095164971201 प्राप्त करने के लिए 68719476736000000000000000000000000000000000000000000000000000000000000000000000000 में से 237100481779207569695836979093150364567632084923980533752615109079380709095164971201 घटाएं.

$$35\times \frac{\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}}{0.035}+\frac{1000}{1.035^{30}}$$

\frac{\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}}{0.035} को एकल भिन्न के रूप में व्यक्त करें.

$$35\times \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201\times 0.035}+\frac{1000}{1.035^{30}}$$

8298516862272264939354294268260262759867122972339318681341528817778324818330773992.035 प्राप्त करने के लिए 237100481779207569695836979093150364567632084923980533752615109079380709095164971201 और 0.035 का गुणा करें.

$$35\times \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201}{8298516862272264939354294268260262759867122972339318681341528817778324818330773992.035}+\frac{1000}{1.035^{30}}$$

अंश और हर दोनों 1000 से गुणा करके \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201}{8298516862272264939354294268260262759867122972339318681341528817778324818330773992.035} को विस्तृत करें.

$$35\times \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{8298516862272264939354294268260262759867122972339318681341528817778324818330773992035}+\frac{1000}{1.035^{30}}$$

35 को निकालकर और रद्द करके भिन्न \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{8298516862272264939354294268260262759867122972339318681341528817778324818330773992035} को न्यूनतम पदों तक कम करें.

$$35\times \frac{4810885858377359134166770831232867559075202426399443821503288830839448831290427748600}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1000}{1.035^{30}}$$

35\times \frac{4810885858377359134166770831232867559075202426399443821503288830839448831290427748600}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} को एकल भिन्न के रूप में व्यक्त करें.

$$\frac{35\times 4810885858377359134166770831232867559075202426399443821503288830839448831290427748600}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1000}{1.035^{30}}$$

168381005043207569695836979093150364567632084923980533752615109079380709095164971201000 प्राप्त करने के लिए 35 और 4810885858377359134166770831232867559075202426399443821503288830839448831290427748600 का गुणा करें.

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1000}{1.035^{30}}$$

30 की घात की 1.035 से गणना करें और 2.806793704702633616983891832168892979806961373469044108382206494831711985170841217041015625 प्राप्त करें.

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1000}{2.806793704702633616983891832168892979806961373469044108382206494831711985170841217041015625}$$

अंश और हर दोनों 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 से गुणा करके \frac{1000}{2.806793704702633616983891832168892979806961373469044108382206494831711985170841217041015625} को विस्तृत करें.

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2806793704702633616983891832168892979806961373469044108382206494831711985170841217041015625}$$

931322574615478515625 को निकालकर और रद्द करके भिन्न \frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2806793704702633616983891832168892979806961373469044108382206494831711985170841217041015625} को न्यूनतम पदों तक कम करें.

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1073741824000000000000000000000000000000000000000000000000000000000000000}{3013771792079123197504001394491729024198721873046196628470764090905249}$$

237100481779207569695836979093150364567632084923980533752615109079380709095164971201 और 3013771792079123197504001394491729024198721873046196628470764090905249 का लघुत्तम समापवर्त्य 237100481779207569695836979093150364567632084923980533752615109079380709095164971201 है. \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} और \frac{1073741824000000000000000000000000000000000000000000000000000000000000000}{3013771792079123197504001394491729024198721873046196628470764090905249} को 237100481779207569695836979093150364567632084923980533752615109079380709095164971201 हर वाले भिन्न में रूपांतरित करें.

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{84473782801336029413376000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}$$

चूँकि \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} और \frac{84473782801336029413376000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} के पास समान भिन्न हैं, उनके अंशों को जोड़कर उन्हें जोड़ें.

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000+84473782801336029413376000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}$$

252854787844543599109212979093150364567632084923980533752615109079380709095164971201000 को प्राप्त करने के लिए 168381005043207569695836979093150364567632084923980533752615109079380709095164971201000 और 84473782801336029413376000000000000000000000000000000000000000000000000000000000000000 को जोड़ें.

$$\frac{252854787844543599109212979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}$$