suppose there are 2 pieces of the cake left over, but you don't know how many pieces were in the whole cake.Explain how you could find the number of pieces in the whole cake if Taylor told you 1/6 of the cake was left.You may show your work in a drawing.
if there were n pieces, you know that
1/6 n = 2
n = 12
Think of it like this. Your goal is to make an equivalent fraction with the denominator 2. In this case, just times both sides by 2 to get 12 slices.
If your need to draw a picture, make a circle, and divide it into 6 pieces. Shade in one before you continue. Now, because there were 2 slices left, divide each piece into 2.
To find the number of pieces in the whole cake, we can use the information given that 1/6 of the cake is left. Let's go through the steps to determine the number of pieces in the whole cake:
Step 1: Assume that the total number of pieces in the whole cake is "x."
Step 2: Taylor tells us that 1/6 of the cake is left. This means that 1/6 of the total number of pieces is equal to the number of pieces left over. We can represent this mathematically as:
1/6 * x = 2
Step 3: Solve the equation to find the value of "x." Multiply both sides of the equation by 6 to cancel out the fraction:
1/6 * x * 6 = 2 * 6
Simplifying:
x = 12
Step 4: The value of "x" represents the total number of pieces in the whole cake, which is 12 pieces.
Here is a simple diagram to illustrate the calculation:
[Total number of pieces in the cake] -> x
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|____2_____|
We assume that there are x pieces in total, and Taylor tells us that 1/6 of the cake is left, represented by the 2 pieces remaining.