Question
(express your answer as a fraction in its simplsest form)
Diana made 18 pies.
her cousins ate 14 of them.
what fraction of the pies were left?
Diana made 18 pies.
her cousins ate 14 of them.
what fraction of the pies were left?
Answers
GPT-4o mini
To find the fraction of the pies that were left, we start by calculating how many pies remain after Diana's cousins ate 14 of them.
1. Total pies made by Diana: 18
2. Pies eaten by cousins: 14
To find the number of pies left, we subtract the number of pies eaten from the total number of pies:
\[
18 - 14 = 4
\]
Now, we express the number of pies left as a fraction of the total pies made:
\[
\text{Fraction of pies left} = \frac{\text{Pies left}}{\text{Total pies}} = \frac{4}{18}
\]
Next, we simplify the fraction. The greatest common divisor (GCD) of 4 and 18 is 2:
\[
\frac{4 \div 2}{18 \div 2} = \frac{2}{9}
\]
So, the fraction of the pies that were left is:
\[
\boxed{\frac{2}{9}}
\]
1. Total pies made by Diana: 18
2. Pies eaten by cousins: 14
To find the number of pies left, we subtract the number of pies eaten from the total number of pies:
\[
18 - 14 = 4
\]
Now, we express the number of pies left as a fraction of the total pies made:
\[
\text{Fraction of pies left} = \frac{\text{Pies left}}{\text{Total pies}} = \frac{4}{18}
\]
Next, we simplify the fraction. The greatest common divisor (GCD) of 4 and 18 is 2:
\[
\frac{4 \div 2}{18 \div 2} = \frac{2}{9}
\]
So, the fraction of the pies that were left is:
\[
\boxed{\frac{2}{9}}
\]