Fraction is the representation of the parts of a whole number. The amount of cake ate by Norma in the lunch is 9/32 parts.
Total cake left over by the Norma after the party is 3/8.
Total cake she ate for the lunch is 3/4.
The value of the whole cake is given in the fraction parts. To solve this the fraction should be understood.
Fraction is the representation of the parts of a whole number.
As the one whole of cake was there earlier. The 3/8 part of the cake is,
[tex]=\dfrac{3}{8}[/tex]
As she ate the 3/4 part of the left over cake in the lunch. Suppose the part of cake she ate is x. Therefore the part of cake she ate at lunch is,
[tex]x=\dfrac{3}{8} \times\dfrac{3}{4}[/tex]
[tex]x=\dfrac{9}{32}[/tex]
Hence, the amount of cake ate by Norma in the lunch is 9/32 parts.
Learn more about the fraction here;
https://brainly.com/question/1301963