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Well, 4/5 is equal to 0.80 and 3/8 is equal to 0.375 and if you take the two and subtract them, you should end up with 0.425 or approximately 4/10 or 1/2. 
It is easier if you first make the denominator of the fractions same. 
That would be...

32/40 and 15/40

An easy way to find out the difference is to subtract the smaller fraction from the larger fraction.

32/40 minus 15/40 = 17/30

The answer to your fraction is 17/30
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