yasmin purchased 6 heads of cabbage that each weighed 2 3/8 pounds. how much did the cabbage weigh all…

yasmin purchased 6 heads of cabbage that each weighed 2 3/8 pounds. how much did the cabbage weigh all together? 8 3/4 pounds 12 3/8 pounds 13 1/8 pounds 14 1/2 pounds

yasmin purchased 6 heads of cabbage that each weighed 2 3/8 pounds. how much did the cabbage weigh all together? 8 3/4 pounds 12 3/8 pounds 13 1/8 pounds 14 1/2 pounds

Answer

Explanation:

Step1: Convert the mixed - number to an improper fraction

Each cabbage weighs $2\frac{3}{8}$ pounds. Convert $2\frac{3}{8}$ to an improper fraction: $2\frac{3}{8}=\frac{2\times8 + 3}{8}=\frac{16+3}{8}=\frac{19}{8}$ pounds.

Step2: Calculate the total weight

There are 6 cabbages. Multiply the weight of one cabbage by the number of cabbages. The total weight $W=6\times\frac{19}{8}=\frac{6\times19}{8}=\frac{114}{8}$.

Step3: Simplify the fraction

$\frac{114}{8}=\frac{57}{4}$. Convert $\frac{57}{4}$ back to a mixed - number: $57\div4 = 14$ with a remainder of 1. So $\frac{57}{4}=14\frac{1}{4}$ pounds.

Answer:

$14\frac{1}{4}$ pounds