What is 0.45 written as a simplest common fraction?

• A. 1/2
• B. 9/20
• C. 1/5
• D. 2/5

Answer: (B)

To convert 0.45 into a fraction, we first recognize that 0.45 means 45 hundredths. This can be expressed as the fraction 45/100.

Next, to simplify this fraction, we need to find the greatest common divisor (GCD) of the numerator (45) and the denominator (100). The GCD of 45 and 100 is 5.

We can then divide both the numerator and the denominator by their GCD:

• Dividing 45 by 5 gives us 9.

• Dividing 100 by 5 gives us 20.

This simplification leads us to 9/20, which is the simplest form of the fraction representing 0.45. Thus, the correct answer is indeed 9/20, accurately reflecting the decimal value.