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Workout the following fractions 3/1 + 1/4

Mathematics

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Answer

712\frac{7}{12}

Step-by-step solution

3 steps

  1. Tafuta kigawo cha kawaida kidogo (LCM) cha madhehebu.

    Madhehebu ni 3 na 4.
    LCM ya 3 na 4 ni 12.

  2. Badilisha sehemu kuwa na kigawo cha kawaida.

    Ili kubadilisha 13\frac{1}{3} kuwa na kigawo cha 12, zidisha namba na kigawo kwa 4:

    13=1×43×4=412\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}

    Ili kubadilisha 14\frac{1}{4} kuwa na kigawo cha 12, zidisha namba na kigawo kwa 3:

    14=1×34×3=312\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}

  3. Jumlisha sehemu zenye kigawo cha kawaida.

    412+312=4+312=712\frac{4}{12} + \frac{3}{12} = \frac{4+3}{12} = \frac{7}{12}

    Jibu la mwisho ni:

    712\frac{7}{12}
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