To find out how many more pounds of food Carl's class needs to collect, we can subtract the amount they have already collected from their goal.
-
Convert the goal and collected food to improper fractions:
- The goal is 50 pounds, which can be written as \(\frac{50}{1}\).
- The amount collected is 44 1/4 pounds, which is \(44 + \frac{1}{4} = 44.25\) or \(\frac{177}{4}\) (since \(44 \times 4 + 1 = 177\)).
-
Find the difference: \[ \text{Amount still needed} = \text{Goal} - \text{Collected} \] \[ = 50 - 44.25 \] To make the calculation easier, we can work with the fractions: \[ = \frac{50}{1} - \frac{177}{4} \] We need a common denominator to subtract these fractions. The common denominator is 4.
Convert 50 to a fraction with a denominator of 4: \[ 50 = \frac{50 \times 4}{1 \times 4} = \frac{200}{4} \]
-
Subtract the amounts: \[ \frac{200}{4} - \frac{177}{4} = \frac{200 - 177}{4} = \frac{23}{4} \]
-
Convert \(\frac{23}{4}\) to a mixed number: \[ 23 \div 4 = 5 \quad \text{remainder } 3 \] Thus, \(\frac{23}{4} = 5 \frac{3}{4}\).
Therefore, Carl's class needs to collect 5 3/4 more pounds of food to meet their goal.
So the answer is 5 [3]/[4].
1 answer