A group of volunteers packed 198 bags of rice. Each bag contains 3 1/4 kg of rice. How many kilograms of rice did the volunteers pack?
3 1/4 = 3 + 1/4 = 12/4 + 1/4 = 13/4
198 * (13/4) = ?
To find out how many kilograms of rice the volunteers packed, you need to multiply the number of bags by the amount of rice in each bag.
In this case, there are 198 bags of rice, and each bag contains 3 1/4 kg of rice.
To multiply a whole number by a fraction, you can convert the whole number to a fraction by putting it over 1. So, 3 can be written as 3/1.
Now, let's multiply the fractions:
198 bags * 3 1/4 kg/bag = (198/1) * (3 1/4)
To multiply mixed numbers or fractions, convert them to improper fractions by multiplying the whole number by the denominator and adding the numerator.
3 1/4 = (3 * 4 + 1) / 4 = 13/4
So, the equation becomes:
198/1 * 13/4
To multiply fractions, multiply the numerators together and the denominators together:
(198 * 13) / (1 * 4)
Simplifying the multiplication:
2574 / 4
Dividing 2574 by 4:
2574 รท 4 = 643.5
Therefore, the volunteers packed 643.5 kilograms of rice.