holly has 45 5/16 pounds of fertilizer. if she plans to use 3/5 of the fertilizer on her front lawn and the rest on her back lawn, how much fertilizer will she use on the back lawn.

Answer 1

To find out how much fertilizer Holly will use on her back lawn, we first need to calculate how much she will use on her front lawn.

Holly plans to use 3/5 of the fertilizer on her front lawn, which is:

(3/5) * 45 5/16 = (3/5) * 45 + (3/5) * 5/16
= 27 + 3/25
= 27 3/25 pounds

Now, to find out how much she will use on her back lawn, we subtract the amount used on the front lawn from the total amount:

45 5/16 - 27 3/25
= (45 + 5/16) - (27 + 3/25)
= 45 + 5/16 - 27 - 3/25
= (45 - 27) + (5/16 - 3/25)
= 18 + (125/400 - 192/600)
= 18 + (125/400 - 192/600)
= 18 + (375 - 384)/1200
= 18 - 9/1200
= 18 - 3/400
= 17 997/400 pounds

Therefore, Holly will use 17 997/400 pounds of fertilizer on her back lawn.