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2/3 - 1/4 = 2. 2/5 - 1/5 = 3. 3/20 - 9/20 = 4. 5/9 - 2/4 = 5. 8/15 - 10/30 =

Mathematics

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Hapa kuna masuluhisho ya maswali yako:

1. 35−14\frac{3}{5} - \frac{1}{4}

  1. Tafuta kigawo cha kawaida kidogo (LCM) cha 5 na 4, ambacho ni 20.

    Badilisha sehemu kuwa na kigawo cha kawaida.

    35=3×45×4=1220\frac{3}{5} = \frac{3 \times 4}{5 \times 4} = \frac{12}{20} 14=1×54×5=520\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}
  2. Toa namba za juu (numerators).

    1220−520=12−520=720\frac{12}{20} - \frac{5}{20} = \frac{12 - 5}{20} = \frac{7}{20}

    Jibu: 720\boxed{\frac{7}{20}}

    2. 68−25\frac{6}{8} - \frac{2}{5}

  3. Rahisisha sehemu ya kwanza 68\frac{6}{8} kuwa 34\frac{3}{4}.

    Kisha, tafuta LCM ya 4 na 5, ambayo ni 20. Badilisha sehemu kuwa na kigawo cha kawaida.

    34=3×54×5=1520\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} 25=2×45×4=820\frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20}
  4. Toa namba za juu (numerators).

    1520−820=15−820=720\frac{15}{20} - \frac{8}{20} = \frac{15 - 8}{20} = \frac{7}{20}

    Jibu: 720\boxed{\frac{7}{20}}

    3. 420−320\frac{4}{20} - \frac{3}{20}

  5. Sehemu hizi tayari zina kigawo cha kawaida (20).

    Toa namba za juu (numerators) moja kwa moja.

    420−320=4−320=120\frac{4}{20} - \frac{3}{20} = \frac{4 - 3}{20} = \frac{1}{20}

    Jibu: 120\boxed{\frac{1}{20}}

    4. 59−27\frac{5}{9} - \frac{2}{7}

  6. Tafuta LCM ya 9 na 7, ambayo ni 9×7=639 \times 7 = 63.

    Badilisha sehemu kuwa na kigawo cha kawaida.

    59=5×79×7=3563\frac{5}{9} = \frac{5 \times 7}{9 \times 7} = \frac{35}{63} 27=2×97×9=1863\frac{2}{7} = \frac{2 \times 9}{7 \times 9} = \frac{18}{63}
  7. Toa namba za juu (numerators).

    3563−1863=35−1863=1763\frac{35}{63} - \frac{18}{63} = \frac{35 - 18}{63} = \frac{17}{63}

    Jibu: 1763\boxed{\frac{17}{63}}

    5. 815−1030\frac{8}{15} - \frac{10}{30}

  8. Rahisisha sehemu ya pili 1030\frac{10}{30} kuwa 13\frac{1}{3}.

    Kisha, tafuta LCM ya 15 na 3, ambayo ni 15. Badilisha sehemu kuwa na kigawo cha kawaida.

    13=1×53×5=515\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}
  9. Toa namba za juu (numerators).

    815−515=8−515=315\frac{8}{15} - \frac{5}{15} = \frac{8 - 5}{15} = \frac{3}{15}
  10. Rahisisha jibu.

    315=15\frac{3}{15} = \frac{1}{5}

    Jibu: 15\boxed{\frac{1}{5}}

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