Final answer:
The supplier sent 10.5 pounds of almonds, which is two-thirds of the original order of 15 3/4 pounds.
Step-by-step explanation:
To find out how many pounds of almonds the supplier sent, one needs to calculate two-thirds of the original order. The original order was 15 3/4 pounds of almonds. To proceed with this multiplication, it is often easier to work with improper fractions.
First, let's convert 15 3/4 to an improper fraction:
- Multiply the whole number (15) by the denominator of the fraction (4): 15 * 4 = 60.
- Add the result to the numerator of the fraction (3): 60 + 3 = 63.
- So, 15 3/4 as an improper fraction is 63/4.
Now, multiply the improper fraction by 2/3:
- (63/4) * (2/3) = (63 * 2) / (4 * 3) = 126/12.
- Divide 126 by 12 to get the answer: 126 / 12 = 10.5 pounds.
Therefore, the nut supplier sent 10.5 pounds of almonds, which is two-thirds of the original order.