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To write the decimal 0.45 as a fraction.

Mathematics

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:
The question asks to write the decimal 0.45 as a fraction.

  1. Write the decimal as a fraction with a denominator that is a power of 10.

    The decimal 0.45 has two digits after the decimal point, so it can be written as 45 over 100.

    0.45=451000.45 = \frac{45}{100}
  2. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor.

    Both 45 and 100 are divisible by 5.

    45÷5100÷5=920\frac{45 \div 5}{100 \div 5} = \frac{9}{20}

    The fraction cannot be simplified further.

    The decimal 0.45 as a fraction is:

    920\boxed{\frac{9}{20}}

    :
    The question asks to calculate the total money spent daily by the motorist.

  3. Calculate the total amount of petrol consumed daily.

    The motorcycle covers a distance of 40 km40 \text{ km} daily.
    It consumes 1 litre1 \text{ litre} of petrol for every 9 km9 \text{ km}.
    To find the total litres consumed, divide the total distance by the distance covered per litre.

    Litres consumed=Total distanceDistance per litre\text{Litres consumed} = \frac{\text{Total distance}}{\text{Distance per litre}} Litres consumed=40 km9 km/litre\text{Litres consumed} = \frac{40 \text{ km}}{9 \text{ km/litre}} Litres consumed=409 litres\text{Litres consumed} = \frac{40}{9} \text{ litres}
  4. Calculate the total cost of petrol daily.

    The cost per litre of petrol is Sh. 160\text{Sh. } 160.
    To find the total cost, multiply the total litres consumed by the cost per litre.

    Total cost=Litres consumed×Cost per litre\text{Total cost} = \text{Litres consumed} \times \text{Cost per litre} Total cost=409 litres×160 Sh./litre\text{Total cost} = \frac{40}{9} \text{ litres} \times 160 \text{ Sh./litre} Total cost=40×1609 Sh.\text{Total cost} = \frac{40 \times 160}{9} \text{ Sh.} Total cost=64009 Sh.\text{Total cost} = \frac{6400}{9} \text{ Sh.}
  5. Convert the fraction to a decimal and round to two decimal places for currency.

    Total cost=711.111... Sh.\text{Total cost} = 711.111... \text{ Sh.}

    Rounding to two decimal places:

    Total cost≈711.11 Sh.\text{Total cost} \approx 711.11 \text{ Sh.}

    The motorist spends daily:

    Sh. 711.11\boxed{\text{Sh. } 711.11}
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