4/5 of the birthday cake was eaten on your birthday the next day you're ate 1/2 of what was left. You got to finish the cake, how much was left? Hint: Leave your answer as a fraction
1 - 4/5 = 1/5
1/2 of 1/5 = 1/10
1 - 4/5 - 1/10 = ?
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To find out how much cake was left, we can step-by-step calculate the remaining portion each day.
Let's start with the total cake on your birthday, which we'll represent as the fraction 1 whole cake:
On your birthday, 4/5 of the cake was eaten, leaving 1 - 4/5 = 1/5 of the cake remaining.
The next day, you ate half of what was left. So, you ate 1/2 * 1/5 = 1/10 of the original cake.
Since you finished the cake, we need to subtract the portion you ate from what was remaining, which means we subtract 1/10 from 1/5:
1/5 - 1/10 = 2/10 - 1/10 = 1/10.
Hence, there was 1/10 of the cake left after you finished it.