Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A bag of oranges weighs
5 1/4
pounds. How much does
1 1/2
Do bags weigh?
7 3/4 pounds
Steps:
1. Convert 5 1/4 pounds to an improper fraction: 21/4 pounds
2. Multiply 21/4 pounds by 1 1/2 bags: (21/4) * (3/2) = 63/8 pounds
3. Convert 63/8 pounds to a mixed number: 7 3/4 pounds
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To find the weight of 1 1/2 bags, we need to multiply the weight of one bag by 1 1/2.
Given that one bag weighs 5 1/4 pounds, we need to first convert it to an improper fraction.
To do this, we multiply the whole number (5) by the denominator (4) and add the numerator (1) to get the numerator of the improper fraction.
5 * 4 = 20
20 + 1 = 21
The improper fraction equivalent of 5 1/4 is 21/4.
Now, we can multiply this fraction by 1 1/2.
To multiply a fraction by a whole number, we multiply the numerator of the fraction by the whole number and keep the denominator the same.
(21/4) * (3/2) = (21 * 3) / (4 * 2) = 63/8
Therefore, 1 1/2 bags weigh 63/8 pounds.
To find the weight of 1 1/2 bags, we need to first determine the weight of one bag and then multiply it by 1 1/2.
Step 1: Convert the mixed number to an improper fraction.
1 1/2 = (2 * 1 + 1)/2 = 3/2
Step 2: Multiply the weight of one bag by the fraction.
5 1/4 * 3/2 = (5 + 1/4) * 3/2 = 5 * 3/2 + 1/4 * 3/2 = 15/2 + 3/8 = 120/16 + 6/16 = 126/16
Step 3: Simplify the fraction if necessary.
126/16 can be simplified to 63/8.
Therefore, 1 1/2 bags weigh 63/8 pounds.