The level of oil in a bottle is at the 1/2-mark. More oil is poured in until it is at the 7/8- mark. What fraction of the bottle is occupied by the additional amount of oil. Pls show all working.
7/8-1/2 = 7/8-4/8 = 3/8 added.
(3/8)/(7/8) = 3/8 * 8/7 = 24/56 = 3/7 of the bottle.
Well, let's start by finding the difference between the two levels. The initial level is at 1/2, and after pouring more oil, it reaches 7/8. To find the difference, we subtract the initial level from the final level:
7/8 - 1/2 = 7/8 - 4/8 = 3/8
So, the additional amount of oil occupies 3/8 of the bottle.
To find the fraction of the bottle occupied by the additional amount of oil, we need to determine the difference between the two levels: 7/8 - 1/2.
Step 1: Find a common denominator.
The denominators are already the same (8 and 2), so no further action is required.
Step 2: Subtract the numerators.
7/8 - 1/2 = (7 - 4)/8 = 3/8
Therefore, the fraction of the bottle occupied by the additional amount of oil is 3/8.
To find the fraction of the bottle occupied by the additional amount of oil, we need to subtract the initial amount of oil from the final amount of oil. Let's break down the problem into steps:
Step 1: Identify the difference in the amount of oil poured into the bottle.
The initial oil level is at the 1/2 mark, and the final oil level is at the 7/8 mark. We need to find the difference between these two fractions.
Step 2: Find the common denominator.
To subtract fractions, we need a common denominator. In this case, we can use 8 as the common denominator since it is a multiple of both fractions.
Step 3: Convert the fractions to have the same denominator.
To convert 1/2 to an eighth, we multiply both the numerator and denominator by 4: (1/2) * (4/4) = 4/8.
To convert 7/8 to an eighth, we multiply both the numerator and denominator by 1: (7/8) * (1/1) = 7/8.
Step 4: Subtract the initial amount from the final amount.
Now, we can subtract the initial amount (4/8) from the final amount (7/8):
(7/8) - (4/8) = 3/8.
Therefore, the additional amount of oil occupies 3/8 of the bottle.