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Pie bought [tex]\(\frac{4}{8} \, \text{kg}\)[/tex] of chicken meat. She gave [tex]\(\frac{a}{b} \, \text{kg}\)[/tex] of the meat to her friend and cooked the rest. How many kilograms of meat did she cook?

Sagot :

GinnyAnsweridn
Sure, let's walk through the problem step-by-step:

1. Amount of chicken meat bought:
[tex]\[ \text{Chicken meat bought} = \frac{4}{8} \text{ kg} \][/tex]

2. Amount of meat given to friend:
Pie gives half of the chicken meat she bought to her friend.
[tex]\[ \text{Meat given to friend} = \frac{\text{Chicken meat bought}}{2} = \frac{\frac{4}{8}}{2} \][/tex]

3. Simplifying the fraction:
[tex]\[ \text{Meat given to friend} = \frac{4}{8 \times 2} = \frac{4}{16} = \frac{1}{4} \][/tex]

So, Pie gives [tex]\(\frac{1}{4} \text{ kg}\)[/tex] of meat to her friend.

4. Amount of meat cooked:
The amount of meat cooked is the chicken meat bought minus the meat given to her friend.
[tex]\[ \text{Meat cooked} = \frac{4}{8} - \frac{2}{8} \][/tex]

5. Simplifying the subtraction:
[tex]\[ \text{Meat cooked} = \frac{4 - 2}{8} = \frac{2}{8} = \frac{1}{4} \][/tex]

So Pie cooked [tex]\(\frac{1}{4} \text{ kg}\)[/tex] of meat.
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