Kate has 4 3/8 yards of fabric and needs 2 7/8 yard to make a skirt. How much extra fabric will she have left after making a skirt? Pls give me a explanation

Ok so the fractions are 4 3/8, the 4 represents a whole number that means 1= 8/8 so 4 will be 32/8 and adding the 3/8 left there is 35/8.
Then we get and do the same with the other equation we multiply the whole number by the denominator 2*8 which equals 16/8 adding the 7/8 left will be equal 23/8 so it will be easier like this so 35/8 - 23/8 ( you only substract the nominators), will be equal 12/8 you substract 8 from the nominator (12) and put a 1 whole number on the side so it will be 1 4/8 then if you want to simplify it you take only 4/8 then find the greatest common factor which is 4 and divide both by it so the answer will be 1 1/2