2/5 by bus .2/1/2 motorcycle and walked the rest .if the whole journey was 47/3/5

Mathematics

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Answer

42.6 km\text{42.6 km}

Haya hapa masuluhisho ya swali lako:

Swali la 2: Safari ya Martha (Marekebisho)

  • Kumbuka kuhusu swali: Kwa sababu ya uandishi, maneno "40/2/5" na "2/1/2" yamefasiriwa kama shughuli za kugawanya.

    • "40/2/5" imefasiriwa kama 40÷2÷540 \div 2 \div 5.
    • "2/1/2" imefasiriwa kama 2÷1÷22 \div 1 \div 2.
    • "47/3/5" imefasiriwa kama nambari mchanganyiko 473547\frac{3}{5}.
  • Step 1: Tambua umbali uliosafiri kwa basi na pikipiki. Umbali aliosafiri kwa basi:

    40÷2÷5=20÷5=4 km40 \div 2 \div 5 = 20 \div 5 = 4 \text{ km}

    Umbali aliosafiri kwa pikipiki:

    2÷1÷2=2÷2=1 km2 \div 1 \div 2 = 2 \div 2 = 1 \text{ km}
  • Step 2: Badilisha jumla ya safari kuwa sehemu isiyofaa. Jumla ya safari ni 473547\frac{3}{5} km.

    4735=(47×5)+35=235+35=2385 km47\frac{3}{5} = \frac{(47 \times 5) + 3}{5} = \frac{235 + 3}{5} = \frac{238}{5} \text{ km}
  • Step 3: Tafuta umbali aliotembea. Umbali aliotembea ni jumla ya safari kutoa umbali aliosafiri kwa basi na pikipiki.

    x=2385−4−1x = \frac{238}{5} - 4 - 1 x=2385−5x = \frac{238}{5} - 5

    Ili kutoa sehemu hizi, tunahitaji madhehebu ya kawaida. Badilisha 5 kuwa 255\frac{25}{5}:

    x=2385−255x = \frac{238}{5} - \frac{25}{5} x=238−255x = \frac{238 - 25}{5} x=2135x = \frac{213}{5}
  • Step 4: Badilisha jibu kuwa nambari mchanganyiko au desimali.

    x=4235 kmx = 42\frac{3}{5} \text{ km} x=42.6 kmx = 42.6 \text{ km}

    Umbali aliotembea ni 42.6 km\text{42.6 km}.

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