Final answer:
a. Alice cooked 59/24 kg of rice. b. Jasmine and Alice cooked together 103/24 kg of rice.
Step-by-step explanation:
a. How many kg of rice did Alice cook?
To find how many kg of rice Alice cooked, we need to add 5/8 kg to the amount Jasmine cooked. Since Alice cooked more than Jasmine, the total amount of rice she cooked is 1 5/6 kg + 5/8 kg.
First, let's convert 1 5/6 kg to an improper fraction. 1 5/6 kg = (6 * 1 + 5)/6 kg = 11/6 kg.
Now, add 11/6 kg and 5/8 kg:
11/6 kg + 5/8 kg = 88/48 kg + 30/48 kg = 118/48 kg.
Alice cooked a total of 118/48 kg of rice. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
118/48 kg = (2 * 59)/(2 * 24) kg = 59/24 kg.
So, Alice cooked 59/24 kg of rice.
b. How many kg of rice did they cook together?
To find how many kg of rice they cooked together, we need to add the amount Jasmine cooked to the amount Alice cooked. The total amount of rice they cooked together is 1 5/6 kg + 59/24 kg.
First, let's convert 1 5/6 kg to an improper fraction. 1 5/6 kg = (6 * 1 + 5)/6 kg = 11/6 kg.
Now, add 11/6 kg and 59/24 kg:
11/6 kg + 59/24 kg = // Here we first convert both fractions & numerators + 59/(4 * 6) kg =
11/6 kg + 59/24 kg = 88/48 kg + 118/48 kg = 206/48 kg.
The total amount of rice they cooked together is 206/48 kg. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
206/48 kg = (2 * 103)/(2 * 24) kg = 103/24 kg.
So, Jasmine and Alice cooked together 103/24 kg of rice.