4.5 = 45/10 = 9/2
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45 is an integer, not a fraction.
0.45 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. And, since it is a decimal fraction, there is not another simpler decimal form. Its equivalent, in rational form, is 45/100 which can be simplified to 9/20.
45/100 as a fraction in its simplest form = 9/20 45/100 as a decimal = 0.45
0.45 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its equivalent, in rational form, is 45/100. You can simplify this rational fraction if you require.
45.25 as a fraction in simplest form is 181/4 or 45 and 1/4.