0.375 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 375/1000 which can be simplified to 3/8. But simplification means that you lose information about the precision of the fraction.
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0.375 = 3/8
0.0375 = 0375/10000 = 375/10000 = 3/80.
0.4 as a fraction and decimal
A decimal number is one in which the place value of each digit is ten times the place value of the digit to its right. (... , thousands, hundreds, tens, units, tenths, hundredths, ... ) A decimal point is used to separate the units from the tenths. If a number in decimal form has non-zero digits after the decimal point then it is a decimal fraction. [There is one esoteric exception: if the decimal point is followed by an infinite string of 9s, then it is not a decimal fraction.] Thus 37.6 is a decimal fraction 0.6 is a decimal fraction 0.00000063 is a decimal fraction 37 is not a decimal fraction. 37.0 is not a decimal fraction. 37.999... recurring is no a decimal fraction [it is in fact = 38].
It is called a decimal fraction.