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Solve the following fraction problems: multiplication of whole numbers and fractions, finding fractions of numbers, multiplication of two fractions, addition of two fractions.

Mathematics

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Haya hapa masuluhisho ya maswali yako:

  1. Kuzidisha namba nzima na sehemu:

  1. Andika namba nzima kama sehemu.

    6×53=61×536 \times \frac{5}{3} = \frac{6}{1} \times \frac{5}{3}

  2. Zidisha namba za juu (numerators) na namba za chini (denominators).

    6×51×3=303\frac{6 \times 5}{1 \times 3} = \frac{30}{3}

  3. Rahisisha sehemu.

    303=10\frac{30}{3} = 10

    The answer is 10\boxed{10}.

    1. Kupata sehemu ya namba:

  4. "of" inamaanisha kuzidisha.

    89 of 40=89×40\frac{8}{9} \text{ of } 40 = \frac{8}{9} \times 40

  5. Andika namba nzima kama sehemu na zidisha.

    89×401=8×409×1=3209\frac{8}{9} \times \frac{40}{1} = \frac{8 \times 40}{9 \times 1} = \frac{320}{9}

  6. Badilisha kuwa namba mchanganyiko (optional, but good practice for improper fractions).

    3209=3559\frac{320}{9} = 35 \frac{5}{9}

    The answer is 3209\boxed{\frac{320}{9}} or 3559\boxed{35 \frac{5}{9}}.

    1. Kuzidisha sehemu mbili:

  7. Zidisha namba za juu (numerators).

    78×35=7×38×5\frac{7}{8} \times \frac{3}{5} = \frac{7 \times 3}{8 \times 5}

  8. Zidisha namba za chini (denominators).

    2140\frac{21}{40}

    The answer is 2140\boxed{\frac{21}{40}}.

    1. Kujumlisha sehemu mbili:

  9. Tafuta kigawo cha kawaida (common denominator) cha 2 na 8, ambacho ni 8.

    12+78\frac{1}{2} + \frac{7}{8}

  10. Badilisha 12\frac{1}{2} kuwa sehemu yenye kigawo cha 8.

    12=1×42×4=48\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}

  11. Jumlisha sehemu hizo mbili.

    48+78=4+78=118\frac{4}{8} + \frac{7}{8} = \frac{4+7}{8} = \frac{11}{8}

  12. Badilisha kuwa namba mchanganyiko.

    118=138\frac{11}{8} = 1 \frac{3}{8}

    The answer is 118\boxed{\frac{11}{8}} or 138\boxed{1 \frac{3}{8}}.

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