A bàg of rice weigh 13½kg. What is the weight of 9 bags. show workings

1 answer

To find the weight of 9 bags of rice, you can simply multiply the weight of one bag by the number of bags.

  1. Weight of one bag: \( 13 \frac{1}{2} \) kg

First, convert \( 13 \frac{1}{2} \) kg into an improper fraction:

\[ 13 \frac{1}{2} = 13 + \frac{1}{2} = \frac{26}{2} + \frac{1}{2} = \frac{27}{2} \text{ kg} \]

  1. Multiply by the number of bags:

The weight of 9 bags is calculated as follows:

\[ \text{Weight of 9 bags} = 9 \times \left( \frac{27}{2} \right) \]

  1. Calculate the multiplication:

\[ 9 \times \frac{27}{2} = \frac{9 \times 27}{2} = \frac{243}{2} \text{ kg} \]

  1. Convert the improper fraction back to a mixed number:

To convert \( \frac{243}{2} \) into a mixed number, divide 243 by 2:

\[ 243 \div 2 = 121 \text{ remainder } 1 \]

This can be expressed as:

\[ 121 \frac{1}{2} \text{ kg} \]

Thus, the weight of 9 bags of rice is:

\[ \text{Weight of 9 bags} = 121 \frac{1}{2} \text{ kg} \]

Final Answer: The weight of 9 bags of rice is \( 121 \frac{1}{2} \) kg.