सोडोवचें 1/c_{T}=1/2+1/9+1/2+frac{1}{6}+frac{1}{12}

$$\frac { 1 } { c _ { T } } = \frac { 1 } { 2 } + \frac { 1 } { 9 } + \frac { 1 } { 2 } + \frac { 1 } { 6 } + \frac { 1 } { 12 }$$

c_T खातीर सोडोवचें

$$c_{T}=\frac{36}{49}\approx 0.734693878$$

लिनियर समिकरण सोडोवंक पांवडे

विभागणी शुन्यची व्याख्या नाशिल्ल्यान अचल c_{T} हो 0 च्या समान आसूंक शकना. समीकरणाच्यो दोनूय बाजू 36c_{T} वरवीं गुणाकार करच्यो, c_{T},2,9,6,12 चो सामको सामान्य विभाज्य.

$$36=36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{9}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

\frac{36}{2} मेळोवंक 36 आनी \frac{1}{2} गुणचें.

$$36=\frac{36}{2}c_{T}+36c_{T}\times \frac{1}{9}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

18 मेळोवंक 36 क 2 न भाग लावचो.

$$36=18c_{T}+36c_{T}\times \frac{1}{9}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

\frac{36}{9} मेळोवंक 36 आनी \frac{1}{9} गुणचें.

$$36=18c_{T}+\frac{36}{9}c_{T}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

4 मेळोवंक 36 क 9 न भाग लावचो.

$$36=18c_{T}+4c_{T}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

22c_{T} मेळोवंक 18c_{T} आनी 4c_{T} एकठांय करचें.

$$36=22c_{T}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

\frac{36}{2} मेळोवंक 36 आनी \frac{1}{2} गुणचें.

$$36=22c_{T}+\frac{36}{2}c_{T}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

18 मेळोवंक 36 क 2 न भाग लावचो.

$$36=22c_{T}+18c_{T}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

40c_{T} मेळोवंक 22c_{T} आनी 18c_{T} एकठांय करचें.

$$36=40c_{T}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

\frac{36}{6} मेळोवंक 36 आनी \frac{1}{6} गुणचें.

$$36=40c_{T}+\frac{36}{6}c_{T}+36c_{T}\times \frac{1}{12}$$

6 मेळोवंक 36 क 6 न भाग लावचो.

$$36=40c_{T}+6c_{T}+36c_{T}\times \frac{1}{12}$$

46c_{T} मेळोवंक 40c_{T} आनी 6c_{T} एकठांय करचें.

$$36=46c_{T}+36c_{T}\times \frac{1}{12}$$

\frac{36}{12} मेळोवंक 36 आनी \frac{1}{12} गुणचें.

$$36=46c_{T}+\frac{36}{12}c_{T}$$

3 मेळोवंक 36 क 12 न भाग लावचो.

$$36=46c_{T}+3c_{T}$$

49c_{T} मेळोवंक 46c_{T} आनी 3c_{T} एकठांय करचें.

$$36=49c_{T}$$

कुशी हाणच्यो ताका लागून बरोबर चिन्नाच्या दाव्यान सगळी विशम संज्ञा येतली.

$$49c_{T}=36$$

दोनुय कुशींक 49 न भाग लावचो.

$$c_{T}=\frac{36}{49}$$