Answer:
[tex]3\frac{13}{20}=3.65[/tex] kg.
Step-by-step explanation:
Let S be amount of strawberries picked in the afternoon.
We have been given that Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg less strawberries in the morning than in the afternoon and the strawberries picked in morning are [tex]2\frac{1}{4}[/tex] kg.
To find the amount of strawberries picked by Sheldon in the afternoon we will add [tex]2\frac{1}{4}[/tex] and [tex]1\frac{2}{5}[/tex] :
[tex]S= 2\frac{1}{4}+1\frac{2}{5}[/tex]
Upon converting our given mixed fractions into improper fraction we will get,
[tex]S= \frac{9}{4}+\frac{7}{5}[/tex]
Now let us have a common denominator.
[tex]S=\frac{9*5}{4*5}+\frac{7*4}{5*4}[/tex]
[tex]S=\frac{45}{20}+\frac{28}{20}[/tex]
[tex]S=\frac{45+28}{20}[/tex]
[tex]S=\frac{73}{20}[/tex]
[tex]S=3\frac{13}{20}[/tex]
[tex]S=3.65[/tex]
Therefore, Sheldon picked [tex]3\frac{13}{20}=3.65[/tex] kg of strawberries in the afternoon.
