Find the cost of `3(1)/(3)` m. of cloth at Rs`121(1)/(2)` per ,metre .

Answer

To find the cost of \(3 \frac{1}{3}\) meters of cloth at Rs \(121 \frac{1}{2}\) per meter, we can follow these steps:

### Step 1: Convert the mixed numbers to improper fractions
1. **Convert \(121 \frac{1}{2}\) to an improper fraction:**
- Multiply the whole number (121) by the denominator (2):
\[ 121 \times 2 = 242 \]
- Add the numerator (1):
\[ 242 + 1 = 243 \]
- So, \(121 \frac{1}{2} = \frac{243}{2}\).

2. **Convert \(3 \frac{1}{3}\) to an improper fraction:**
- Multiply the whole number (3) by the denominator (3):
\[ 3 \times 3 = 9 \]
- Add the numerator (1):
\[ 9 + 1 = 10 \]
- So, \(3 \frac{1}{3} = \frac{10}{3}\).

### Step 2: Calculate the cost of \(3 \frac{1}{3}\) meters of cloth
1. **Multiply the length of cloth by the cost per meter:**
\[ \text{Cost} = \text{Length} \times \text{Cost per meter} \]
\[ \text{Cost} = \frac{10}{3} \times \frac{243}{2} \]

2. **Perform the multiplication:**
- Multiply the numerators:
\[ 10 \times 243 = 2430 \]
- Multiply the denominators:
\[ 3 \times 2 = 6 \]
- So, we have:
\[ \text{Cost} = \frac{2430}{6} \]

### Step 3: Simplify the fraction
1. **Divide the numerator by the denominator:**
\[ \frac{2430}{6} = 405 \]

### Final Answer
The cost of \(3 \frac{1}{3}\) meters of cloth is Rs 405.

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