Jacob purchased 3 1/2 pounds of grapes and 3 3/4 pound of strawberries from a farmers market.

Answer 1

To find the total weight of the fruits Jacob purchased, you can add the weights of the grapes and strawberries together.

First, let's convert the mixed numbers to improper fractions:

1. For grapes:

   • \( 3 \frac{1}{2} = \frac{7}{2} \) (since \( 3 \times 2 + 1 = 7 \))

2. For strawberries:

   • \( 3 \frac{3}{4} = \frac{15}{4} \) (since \( 3 \times 4 + 3 = 15 \))

Now we have:

• Weight of grapes: \( \frac{7}{2} \) pounds
• Weight of strawberries: \( \frac{15}{4} \) pounds

Next, we'll find a common denominator to add these fractions. The least common multiple of 2 and 4 is 4.

Now, convert \( \frac{7}{2} \) to a fraction with a denominator of 4:

\[ \frac{7}{2} = \frac{7 \times 2}{2 \times 2} = \frac{14}{4} \]

Now we can add the two fractions:

\[ \frac{14}{4} + \frac{15}{4} = \frac{14 + 15}{4} = \frac{29}{4} \]

Finally, convert the improper fraction back to a mixed number:

\[ \frac{29}{4} = 7 \frac{1}{4} \]

So, the total weight of grapes and strawberries that Jacob purchased is \( 7 \frac{1}{4} \) pounds.