What fraction is?
350 g of `4(1)/(2)` kg

Answer

To find what fraction 350 g is of \(4 \frac{1}{2}\) kg, we can follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction.
The mixed fraction \(4 \frac{1}{2}\) can be converted to an improper fraction.

\[ 4 \frac{1}{2} = \frac{(4 \times 2) + 1}{2} = \frac{8 + 1}{2} = \frac{9}{2} \]

### Step 2: Convert kilograms to grams.
Since we need to work with the same units, we convert \(4 \frac{1}{2}\) kg into grams.

\[ 4 \frac{1}{2} \text{ kg} = \frac{9}{2} \text{ kg} = \frac{9}{2} \times 1000 \text{ g} = \frac{9000}{2} \text{ g} = 4500 \text{ g} \]

### Step 3: Set up the fraction.
Now we can set up the fraction of 350 g out of 4500 g.

\[ \text{Fraction} = \frac{350 \text{ g}}{4500 \text{ g}} = \frac{350}{4500} \]

### Step 4: Simplify the fraction.
To simplify \(\frac{350}{4500}\), we can divide both the numerator and the denominator by 50.

\[ \frac{350 \div 50}{4500 \div 50} = \frac{7}{90} \]

### Final Answer:
Thus, \(350\) g is \(\frac{7}{90}\) of \(4 \frac{1}{2}\) kg.

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