Janet bought 1/2 cake. She ate 1/4 of the cake she bought. Then she cut the remainder into 2 equal pieces. What fraction of a whole cake was each piece?
Val cuts her birthday cake into 10 pieces.Each person had one piece.They ate 3/5 of the cake.How many people were at Val's party?
Cut the cake in half. Cut the two half into 4th. Then cut each of the two halves into 2. You then get 16 pieces
Fraction for the whole cake:
16/16
for half of cake ts
8/16
for the piece she ate
8/16 x 1/4
=2/16
she ate 2/16 of the whole cake
the remaining piece
8/16 x 3/4
= 6/16
each of the 2 pieces of the remaining piece
(6/16)/2
= 3/16
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To find the fraction of a whole cake that each piece represents, we need to follow the given steps:
Step 1: Janet bought 1/2 of a cake.
Step 2: She ate 1/4 of the cake she bought.
Step 3: The remainder is (1/2) - (1/4) = 1/4 of a cake.
Step 4: She cut the remainder into 2 equal pieces.
Step 5: Each piece represents (1/4) ÷ 2 = 1/8 of a cake.
Therefore, each piece represents 1/8 of a whole cake.
To find the fraction of a whole cake that each piece represents, let's break down the information provided step by step:
Janet bought 1/2 of a cake.
If we consider the whole cake as 1, then Janet has 1/2 of it.
Next, Janet ate 1/4 of the cake she bought.
To determine how much of the original whole cake is left, we subtract 1/4 (the amount she ate) from 1/2 (the amount she bought).
1/2 - 1/4 = 2/4 - 1/4 = 1/4
So, after eating, Janet has 1/4 of the original whole cake left.
Then, she cut the remainder into 2 equal pieces.
Since Janet has 1/4 of the original whole cake remaining, she cuts it into 2 equal parts.
To find the fraction that represents each piece, we divide the remaining 1/4 by 2.
(1/4) / 2 = 1/4 * 1/2 = 1/8
Hence, each piece represents 1/8 of the whole cake.
In conclusion, each piece that Janet cut from the remainder represents 1/8 of the whole cake.