Ventura Coal mined 6 ⅔ tons on Monday, 7 ¾ tons on Tuesday, and 4 ½ tons on Wednesday. If the goal is to mine 25 tons this week, how many more tons must be mined?
Bosnian and I both showed you how to add fractions. Now it's your turn.
We'll be glad to check your answer.
To find out how many more tons must be mined to reach the goal of 25 tons, we need to add up the amount of coal mined on each day and subtract it from the target amount.
First, let's calculate the total amount of coal mined so far:
On Monday, Ventura Coal mined 6 ⅔ tons, which can be written as 6 + 2/3 tons. To add this to the total, we convert the mixed number to an improper fraction: 6 + 2/3 = 18/3 + 2/3 = 20/3 tons.
On Tuesday, they mined 7 ¾ tons, which can be written as 7 + 3/4 tons. Converting this mixed number to an improper fraction, we get: 7 + 3/4 = 28/4 + 3/4 = 31/4 tons.
On Wednesday, they mined 4 ½ tons, which can be written as 4 + 1/2 tons. Converting it to an improper fraction: 4 + 1/2 = 8/2 + 1/2 = 9/2 tons.
Now, let's add up the totals: 20/3 + 31/4 + 9/2 = 20/3 + 31/4 + 18/4 = 20/3 + 49/4 + 18/4 = 20/3 + 67/4 = (80 + 201)/12 = 281/12 tons.
To find out how many more tons need to be mined to reach the goal of 25 tons, subtract the total amount mined from the target amount: 25 - 281/12.
To subtract mixed numbers, convert the mixed number to an improper fraction: 25 = 24/1. Subtracting fractions: 24/1 - 281/12 = (288/12) - (281/12) = 7/12.
Therefore, Ventura Coal must mine an additional 7/12 tons to reach the goal of 25 tons for the week.