Sam grew three pumpkins for the pumpkin growing contest.The pumpkins weighed 24 1/8 pounds,18 2/4 pounds,32 5/16 pounds.Find the combined total weight of Sam’s pumpkins 🎃 .
24 1/8 pounds + 18 2/4 pounds + 32 5/16 pounds
= 24 2/16 + 18 8/16 + 32 5/16
=24+18+32 + (2+8+5)/16
To find the combined total weight of Sam's pumpkins, you need to add the weights of all three pumpkins.
Let's break down the weights first:
The weight of the first pumpkin is 24 1/8 pounds. To convert this mixed number to an improper fraction, you multiply the whole number (24) by the denominator (8) and add the numerator (1). This gives us (24 × 8) + 1 = 193. So, the weight of the first pumpkin is 193/8 pounds.
Similarly, the weight of the second pumpkin is 18 2/4 pounds, which can be converted to 74/4 pounds.
Finally, the weight of the third pumpkin is 32 5/16 pounds, which can be converted to 517/16 pounds.
Now, add up all these fractions:
193/8 + 74/4 + 517/16
To add these fractions, we need a common denominator. The least common multiple (LCM) of 8, 4, and 16 is 16. So, we can rewrite each fraction with a denominator of 16:
(193/8) × (2/2) = 386/16
(74/4) × (4/4) = 296/16
517/16
Now, add the fractions:
386/16 + 296/16 + 517/16 = (386 + 296 + 517)/16 = 1199/16
So, the combined total weight of Sam's pumpkins is 1199/16 pounds.
To simplify the fraction, you can divide the numerator (1199) by the denominator (16) to get a mixed number:
1199 ÷ 16 = 74 remainder 15
Therefore, the combined total weight of Sam's pumpkins is 74 15/16 pounds.