91Ó°ÊÓ

In order to convert the fraction into a decimal, we rewrite the fraction as a division by writing the numerator (9) divided by the denominator (20): $$\frac{9}{20} = 9 \div 20$$

Next, we perform the division. Since 9 is smaller than 20, we will need to add a decimal point to 9 and append a 0, making it 9.0. This allows us to divide by 20: 9.0 ______ 20 )| 0.45 Now, we proceed with the division: - how many times does 20 go into 90? It goes 4 times, so write 4 above the division symbol. - multiply 20 by 4 and write the result under 90: \(20 \times 4 = 80\). - subtract the 80 from 90, which results in 10. Now, we bring down the next digit (in this case, it's a 0 after the decimal point): - how many times does 20 go into 100? It goes 5 times, so write 5 after the 4 above the division symbol. - multiply 20 by 5 and write the result under 100: \(20 \times 5 = 100\). - subtract the 100 from 100, which results in 0. The division has no remainder now.

Since our division has no remainder, we can write down the decimal result. The answer to the division is 0.45, so: $$\frac{9}{20} = 0.45$$ So, the fraction $$\frac{9}{20}$$ written as a decimal number is 0.45.