Easiest way is to think of it like this.
3/4 means 3 parts in 4
Make the bottom 100. (4 goes into 100 exactly 25 times)
4 x 25 =100
Multiply the top by 25: 3 x 25 = 75
75 parts in 100 is the same as 3 parts in 4
Move the d p 2 places back
Answer = 0.75
Another method:
A harder one: 4/15. Multiply the top by 100 = 400/15 = 800/30 = 80/3 = 26.6666..
Now divide by 100 again so 4/15 = 0.26666...
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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.
That already is a decimal fraction.
930 is not a fraction but as a decimal, it is 930