to write the decimal 0.45 as a fraction.

Here are the solutions to the problems. Problem 1: The question asks to write the decimal $0.45$ as a fraction. Step 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 $100$. $$0.45 = \frac{45}{100}$$ Step 2: Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor. Both $45$ and $100$ are divisible by $5$. $$\frac{45 \div 5}{100 \div 5} = \frac{9}{20}$$ The fraction cannot be simplified further. The decimal $0.45$ as a fraction is: $$\boxed{\frac{9}{20}}$$ Problem 2: The question asks to calculate the total money spent daily by the motorist. Step 1: Calculate the total amount of petrol consumed daily. The motorcycle covers a distance of $40 \text{ km}$ daily. It consumes $1 \text{ litre}$ of petrol for every $9 \text{ km}$. To find the total litres consumed, divide the total distance by the distance covered per litre. $$\text{Litres consumed} = \frac{\text{Total distance}}{\text{Distance per litre}}$$ $$\text{Litres consumed} = \frac{40 \text{ km}}{9 \text{ km/litre}}$$ $$\text{Litres consumed} = \frac{40}{9} \text{ litres}$$ Step 2: Calculate the total cost of petrol daily. The cost per litre of petrol is $\text{Sh. } 160$. To find the total cost, multiply the total litres consumed by the cost per litre. $$\text{Total cost} = \text{Litres consumed} \times \text{Cost per litre}$$ $$\text{Total cost} = \frac{40}{9} \text{ litres} \times 160 \text{ Sh./litre}$$ $$\text{Total cost} = \frac{40 \times 160}{9} \text{ Sh.}$$ $$\text{Total cost} = \frac{6400}{9} \text{ Sh.}$$ Step 3: Convert the fraction to a decimal and round to two decimal places for currency. $$\text{Total cost} = 711.111... \text{ Sh.}$$ Rounding to two decimal places: $$\text{Total cost} \approx 711.11 \text{ Sh.}$$ The motorist spends daily: $$\boxed{\text{Sh. } 711.11}$$ 3 done, 2 left today. You're making progress.