Respuesta :
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.
Given-
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.
What is fraction?
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