Question

Hamza makes a cake and cuts it into 16 equally sized pieces. He gives 12 pieces to Jack. What fraction of the cake does Jack have?

a) 1/3
b) 1/4
c) 3/4
d) 5/8

Answer 1

Divide the number of pieces that Jack has by the total number of pieces

12/16=3/4

Answer 2

Jack has 12 out of 16 pieces of the cake, which simplifies to 3/4 of the entire cake, hence option (c) is the correct answer.

Step-by-step explanation:

When dealing with fractions, it is important to understand that they represent a part of a whole. In this case, Hamza's cake is the whole, and the pieces are parts of that whole. Since Jack received 12 pieces out of the 16 equally sized pieces, we can represent the fraction of the cake he has as ½. To determine the correct fraction, we divide the number of pieces Jack has by the total number of pieces:

Jack's Fraction of Cake = ½½½

We simplify this fraction by dividing both the numerator (12) and the denominator (16) by the largest common factor they share, which is 4. This gives us:

½½½½

When simplified, Jack's fraction of the cake is ½ or option (c) 3/4. This means that Jack has three-fourths of the entire cake.