Lucy has 7/10 gallon of milk left in her refrigerator, and her mugs hold 1/8 gallon. If she fills as many full mugs as she can, how much milk will be left in gallons? Answers should be in simplest form.

Answer 1

Lucy has 7/10 gallon of milk left, which can be written as 7 ÷ 10 = 0.7 gallon.
Each mug holds 1/8 of a gallon.
To find out how many mugs Lucy can fill, we divide the amount of milk left by the amount each mug can hold: 0.7 ÷ 1/8 = 0.7 × 8 = 5.6 mugs.
Since Lucy can't have a fraction of a mug, we round down to the nearest whole number: 5 mugs.
If Lucy fills 5 mugs, she uses 5 × 1/8 = 5/8 = 0.625 gallon of milk.
Therefore, there will be 0.7 - 0.625 = 0.075 gallon of milk left in gallons, or simplified 75/1000 = 3/40 = 0.075 gallon of milk. Answer: \boxed{3/40}.