Adding and Converting Mixed Numbers
To solve this problem, we need to add the two amounts of newspapers collected by the two sections of Payapa School:
First, let's convert the mixed numbers to improper fractions so that we can add them easily.
For 18 2/5, we have:
\( 18 + \frac{2}{5} = \frac{18 \times 5}{5} + \frac{2}{5} = \frac{90}{5} + \frac{2}{5} = \frac{92}{5} \)
For 22 1/2, we have:
\( 22 + \frac{1}{2} = \frac{22 \times 2}{2} + \frac{1}{2} = \frac{44}{2} + \frac{1}{2} = \frac{45}{2} \)
Now, we need to add these two improper fractions:
\( \frac{92}{5} + \frac{45}{2} \)
To add them, we need a common denominator, which for 2 and 5 is 10. We need to convert each fraction to have this common denominator:
\( \frac{92}{5} = \frac{92 \times 2}{5 \times 2} = \frac{184}{10} \)
\( \frac{45}{2} = \frac{45 \times 5}{2 \times 5} = \frac{225}{10} \)
Now we can add the two fractions:
\( \frac{184}{10} + \frac{225}{10} = \frac{184+225}{10} = \frac{409}{10} \)
Now, we convert this improper fraction back to a mixed number:
\( \frac{409}{10} = 40 + \frac{9}{10} = 40 \frac{9}{10} \)
The correct answer is C) \( 40 \frac{9}{10} \) kg.
