Aneeta bought `3 3/4` kg apples and `4 1/2` kg guava. What is the total weight of fruits purchased by her?

Options

A. `7 1/4 kg`
B. `8 1/4 kg`
C. `9 1/4 kg`
D. `6 1/4 kg`

Answer

To find the total weight of fruits purchased by Aneeta, we need to add the weights of the apples and guavas she bought. Let's break this down step by step.

### Step 1: Convert Mixed Numbers to Improper Fractions
Aneeta bought `3 3/4` kg of apples. We convert this mixed number into an improper fraction.

- **Calculation**:
\[ 3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4} \text{ kg} \]

### Step 2: Convert the Guava Weight
Aneeta bought `4 1/2` kg of guava. We also convert this mixed number into an improper fraction.

- **Calculation**:
\[ 4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{8 + 1}{2} = \frac{9}{2} \text{ kg} \]

### Step 3: Find a Common Denominator
To add the two fractions, we need a common denominator. The denominators are `4` and `2`. The least common multiple (LCM) of `4` and `2` is `4`.

### Step 4: Convert the Guava Fraction
Now we convert the guava fraction to have the same denominator as the apples.

- **Calculation**:
\[ \frac{9}{2} = \frac{9 \times 2}{2 \times 2} = \frac{18}{4} \]

### Step 5: Add the Two Fractions
Now we can add the two fractions together.

- **Calculation**:
\[ \frac{15}{4} + \frac{18}{4} = \frac{15 + 18}{4} = \frac{33}{4} \]

### Step 6: Convert the Result Back to a Mixed Number
Finally, we convert the improper fraction back to a mixed number.

- **Calculation**:
\[ \frac{33}{4} = 8 \frac{1}{4} \text{ kg} \]

### Conclusion
The total weight of fruits purchased by Aneeta is `8 1/4` kg.

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