As an improper fraction -3.75 is -375/100. In simplest form it is -15/4.
As a mixed number it is -3 75/100. In simplest form it is -3 3/4
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34.375 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 rational equivalent is 34 375/1000 which can be simplified.
3.75 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, being a decimal, there is no simpler form. Its rational equivalent is 375/100 which can be simplified to 15/4. But simplification means that you lose information about the precision of the fraction.
375 can be expressed as an improper fraction: 375/1
.375 as a fraction is 3/8
-375 = -375/1