১৩ সরল কর ক 0 3 xx 83 5 1, বাস্তব সংখ্যা, গণিত

Question:১৩.> সরল কর: 
   ক. `(0.3 xx 0.83) -: (0.5 xx 0.1) + 0.35 -: 0.08`

   খ. `[(6.27 xx 0.5) -: {(0.5 xx 0.75) xx 8.36}]`

      `-: {(0.25 xx 0.1) xx (0.75 xx 21.3) xx 0.5}`

Answer ক.  `(0.3 xx 0.83) -: (0.5 xx 0.1) + 0.35 -: 0.08`
  
      `= ((3/9) xx (83 - 8))/(90) -: (5/(10 xx 1/9)) + (35 - 3)/(90) -: 8/(90)`

      `= (1/3 xx (75)/(90)) -: 5/(90) + (32)/(90) -: 8/(90)`

      `= 5/(18) -: 5/(90) + (32)/(90) xx (90)/8`

      `= 5/(18) xx (90)/5 + 4`

        = 5 + 4

        = 9

   :. নির্ণেয় সরলফল = 9 




  খ.` [(6.27 xx 0.5) -: {(0.5 xx 0.75) xx 8.36}]`

         `-: {(0.25 xx 0.1) xx (0.75 xx 21.3) xx 0.5}`

    
     `= [((627)/(100) xx 5/(10)) -: {(5/(10) xx (75)/(100)) xx (836)/(100)}] `

      
         `-:{((25)/(100) xx 1/(10) xx ((75)/(100) xx (213 - 21)/9) xx 5/(10)}`

     
     `= [(627)/(200) -: {3/8 xx (836)/(100)}] -: {1/(40) xx 3/4 xx (192)/9 xx 5/(10)}`

     
     `= [(627)/(200) -: (627)/(200)] -: {1/(40) xx 16 xx 1/2}`

     `= [(627)/(200) xx (200)/(627)] -: 1/5`

     `= 1 -: 1/5 = 1 xx 5 = 5`

     :. নির্ণেয় সরলফল = 5

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১৩.> shorol karo: ka. `(0.3 xx 0.83) -: (0.5 xx 0.1) + 0.35 -: 0.08` kh. `[(6.27 xx 0.5) -: {(0.5 xx 0.75) xx 8.36}]` `-: {(0.25 xx 0.1) xx (0.75 xx 21.3) xx 0.5}`

Question:১৩.> সরল কর: ক. `(0.3 xx 0.83) -: (0.5 xx 0.1) + 0.35 -: 0.08` খ. `[(6.27 xx 0.5) -: {(0.5 xx 0.75) xx 8.36}]` `-: {(0.25 xx 0.1) xx (0.75 xx 21.3) xx 0.5}`