The answer is:
Samir picks [tex]7\frac{9}{8} Kg[/tex] of peppers in the evening.
To solve this problem, we must remember the way to add or subtract mixed numbers.
We must remember the way of adding or subtracting fractions:
[tex]\frac{a}{b}+\frac{c}{d} =\frac{ad+bc}{bd}[/tex]
Also, if we need to add or subtract mixed numbers with different denominators, we need to follow the next steps:
- Add or subtract the whole number part
- Add or subtract the fractional numbers.
- Put together both, whole number addition or subtraction result and the addition or subtraction of the fractional numbers.
So,
[tex]a\frac{b}{c}+d\frac{e}{f} =(a+d)\frac{bf+ce}{cf}[/tex]
Now, if Samir picks 3 5/8 less peppers in the afternoon than in the evenning, and if he picks 4 3/6 peppers in the afternoon, so:
Let be x the number of peppers that he picks in the evening, so:
[tex]x-3\frac{5}{8}x=4\frac{3}{6}\\\\x=4\frac{3}{6}+3\frac{5}{8}[/tex]
Then, simplifying we have:
[tex]x=4\frac{3}{6}+3\frac{5}{8}\\\\x=4\frac{3}{6}+3\frac{5}{8}=(4+3)\frac{24+30}{48}\\\\x=(4+3)\frac{24+30}{48}=7\frac{54}{48}=7\frac{9}{8}[/tex]
So, Samir picks [tex]7\frac{9}{8} Kg[/tex] of peppers in the evening.
Have a nice day!
