Work out this 2/5+7/9

Mathematics

ScanSolve AI Answer

Answer

5345\frac{53}{45}

18451 \frac{8}{45}

Step-by-step solution

4 steps

Ili kujumlisha sehemu ndogo, tunahitaji kupata kigawo cha kawaida kidogo (LCM) cha madhehebu.

  1. Tafuta kigawo cha kawaida kidogo (LCM) cha madhehebu 5 na 9.

    LCM ya 5 na 9 ni 5×9=455 \times 9 = 45.

  2. Badilisha kila sehemu ndogo kuwa na kigawo cha 45.

    Kwa 25\frac{2}{5}:

    25=2×95×9=1845\frac{2}{5} = \frac{2 \times 9}{5 \times 9} = \frac{18}{45}

    Kwa 79\frac{7}{9}:

    79=7×59×5=3545\frac{7}{9} = \frac{7 \times 5}{9 \times 5} = \frac{35}{45}
  3. Jumlisha sehemu ndogo zilizobadilishwa.

    1845+3545=18+3545=5345\frac{18}{45} + \frac{35}{45} = \frac{18 + 35}{45} = \frac{53}{45}
  4. Rahisisha jibu.

    Sehemu ndogo 5345\frac{53}{45} ni sehemu isiyofaa (improper fraction) kwa sababu namba ya juu ni kubwa kuliko namba ya chini. Tunaweza kuibadilisha kuwa namba mchanganyiko.

    5345=1845\frac{53}{45} = 1 \frac{8}{45}

    Jibu ni 5345\boxed{\frac{53}{45}} au 1845\boxed{1 \frac{8}{45}}.

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