Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage weigh all together?
9 and three-fourths pounds
12 and StartFraction 3 over 8 EndFraction pounds
13 and StartFraction 1 over 8 EndFraction pounds
14 and one-fourth pounds
To find the total weight of the cabbage, we need to multiply the weight of each cabbage by the number of cabbages purchased:
Weight of each cabbage = 2 3/8 pounds
Number of cabbages purchased = 6
Total weight of the cabbage = (2 3/8 pounds) * 6
To multiply a whole number by a fraction, we can first convert the whole number to an improper fraction and then multiply:
2 3/8 pounds = (8 * 2 + 3)/8 = 19/8 pounds
Total weight of the cabbage = (19/8 pounds) * 6
To multiply fractions, we multiply the numerators together and the denominators together:
Total weight of the cabbage = (19/8 * 6/1) pounds
= 19 * 6 / (8 * 1) pounds
= 114/8 pounds
To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (2):
Total weight of the cabbage = (114/2)/ (8/2) pounds
= 57/4 pounds
57/4 pounds can also be written as 14 1/4 pounds.
Therefore, the cabbage weighed 14 and one-fourth pounds all together.