George baked 100 cupcakes. Two tenths of the cupcakes are chocolate. Fifty-seven hundredths of the cupcakes are strawberry. The rest of the cupcakes are vanilla. What fraction of the cupcakes are vanilla?
100 - 20 - 7 = ?
Divide ? by 100.
To find the fraction of cupcakes that are vanilla, we need to subtract the fractions of cupcakes that are chocolate and strawberry from 1 (since the total sum of all the fractions should be 1).
First, let's find the fraction of cupcakes that are chocolate:
Two tenths can be written as 2/10, which can be simplified to 1/5.
Next, let's find the fraction of cupcakes that are strawberry:
Fifty-seven hundredths can be written as 57/100.
Now, let's add the fractions of cupcakes that are chocolate and strawberry to get the total fraction of cupcakes that are not vanilla:
1/5 + 57/100 = 20/100 + 57/100 = 77/100.
Finally, to find the fraction of cupcakes that are vanilla, subtract the total fraction of cupcakes that are not vanilla from 1:
1 - 77/100 = 100/100 - 77/100 = 23/100.
Therefore, 23/100 of the cupcakes are vanilla.
To find the fraction of cupcakes that are vanilla, we need to subtract the fractions of cupcakes that are chocolate and strawberry from the total number of cupcakes.
Let's start by finding the fraction of cupcakes that are chocolate. We are told that two tenths of the cupcakes are chocolate, which can be written as 2/10.
Next, let's find the fraction of cupcakes that are strawberry. We are given that fifty-seven hundredths of the cupcakes are strawberry, which can be written as 57/100.
To find the fraction of cupcakes that are vanilla, we subtract the fractions of cupcakes that are chocolate and strawberry from 1 (since the total fraction of cupcakes is always 1).
1 - (2/10 + 57/100) = 1 - (20/100 + 57/100) = 1 - 77/100 = 23/100
Therefore, 23/100 of the cupcakes are vanilla.