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Convert the fractional part to a decimal.

Mathematics

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22. Write 85128 \frac{5}{12} in 3 decimal places.

  1. Convert the fractional part to a decimal.

    512=0.41666...\frac{5}{12} = 0.41666...
  2. Add the decimal to the whole number.

    8+0.41666...=8.41666...8 + 0.41666... = 8.41666...
  3. Round the result to 3 decimal places.

    Since the fourth decimal place is 6 (which is 5 or greater), we round up the third decimal place.

    8.41666...≈8.4178.41666... \approx 8.417

    The value of 85128 \frac{5}{12} in 3 decimal places is 8.417\boxed{\text{8.417}}.

    23. Convert 308.5% as a decimal.

  4. To convert a percentage to a decimal, divide the percentage by 100.

    308.5%=308.5100308.5\% = \frac{308.5}{100}
  5. Perform the division.

    308.5100=3.085\frac{308.5}{100} = 3.085

    308.5% as a decimal is 3.085\boxed{\text{3.085}}.

    24. After 36% of water leaked from our school tank, 960 litres still remained. How many litres of water leaked?

  6. Determine the percentage of water remaining in the tank.

    Percentage remaining=100%−Percentage leaked\text{Percentage remaining} = 100\% - \text{Percentage leaked} Percentage remaining=100%−36%=64%\text{Percentage remaining} = 100\% - 36\% = 64\%
  7. Calculate the total capacity of the tank.

    We know that 960 litres represents 64% of the total capacity. Let TT be the total capacity.

    0.64×T=9600.64 \times T = 960 T=9600.64T = \frac{960}{0.64} T=1500 litresT = 1500 \text{ litres}
  8. Calculate the amount of water that leaked.

    Leaked water=Total capacity−Remaining water\text{Leaked water} = \text{Total capacity} - \text{Remaining water} Leaked water=1500 litres−960 litres\text{Leaked water} = 1500 \text{ litres} - 960 \text{ litres} Leaked water=540 litres\text{Leaked water} = 540 \text{ litres}

    Alternatively, calculate 36% of the total capacity:

    Leaked water=36%×1500 litres\text{Leaked water} = 36\% \times 1500 \text{ litres} Leaked water=36100×1500\text{Leaked water} = \frac{36}{100} \times 1500 Leaked water=0.36×1500=540 litres\text{Leaked water} = 0.36 \times 1500 = 540 \text{ litres}

    The amount of water that leaked was 540 litres\boxed{\text{540 litres}}.

    25. The question "A farmer spent 36,200/- on s during the planting season sh..." is incomplete. Please provide the full question for me to solve it.

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