To determine the total pounds of fruit Joanna bought, we add up the individual pounds of each fruit.
1. Apples: [tex]\(1 \frac{1}{2}\)[/tex] pounds
- This can be converted into an improper fraction: [tex]\(1 \frac{1}{2} = \frac{3}{2}\)[/tex] pounds.
2. Strawberries: [tex]\(\frac{3}{4}\)[/tex] of a pound.
3. Grapes: [tex]\(\frac{1}{2}\)[/tex] of a pound.
- This can also be written as [tex]\(\frac{2}{4}\)[/tex] to facilitate addition.
4. Oranges: [tex]\(1 \frac{3}{4}\)[/tex] pounds.
- This converts to an improper fraction: [tex]\(1 \frac{3}{4} = \frac{7}{4}\)[/tex] pounds.
5. Pears: [tex]\(1 \frac{1}{4}\)[/tex] pounds.
- This converts to an improper fraction: [tex]\(1 \frac{1}{4} = \frac{5}{4}\)[/tex] pounds.
Next, convert all amounts to either mixed fractions or improper fractions as necessary and sum them up:
[tex]\[
\begin{align*}
\text{Apples} &: \frac{3}{2} = \frac{6}{4} \\
\text{Strawberries} &: \frac{3}{4} \\
\text{Grapes} &: \frac{2}{4} \\
\text{Oranges} &: \frac{7}{4} \\
\text{Pears} &: \frac{5}{4}
\end{align*}
\][/tex]
Combine all fractions over the common denominator 4:
[tex]\[
\frac{6}{4} + \frac{3}{4} + \frac{2}{4} + \frac{7}{4} + \frac{5}{4} = \frac{23}{4}
\][/tex]
Convert back to a mixed number:
[tex]\[
\frac{23}{4} = 5 \frac{3}{4}
\][/tex]
Thus, the total pounds of fruit Joanna bought is [tex]\(5 \frac{3}{4}\)[/tex] pounds.
So, the correct answer is:
B. [tex]\(5 \frac{3}{4}\)[/tex]
