Step-by-step explanation:
in this problem, we are solving for the amount of apple that Paloma eats
1. she ate 2/8 of a complete apple -hence the will be a remainder, we will find
that remainder
2. she also ate 3/8 of the remainder for lunch
3. we then proceed to calculate all apple she ate in total
[tex]1. \frac{2}{8} *1= \frac{1}{4} \\\\1-\frac{1}{4}= \frac{4-1}{4} = \frac{3}{4}[/tex]
2 she ate 3/8 of the remaining 3/4 apple
[tex]1. \frac{3}{8} *\frac{3}{4} = \frac{9}{32}[/tex]
3. in total she ate 1/4+ 9/32
[tex]\frac{1}{4} +\frac{9}{32} = \frac{8+9}{32} = \frac{17}{32}[/tex]