Question
Mark had 3/2 cans of paint and used 1/2 can for his room. What fraction of the paint did he use?
3/5
5/3
1/3
1/5
3/5
5/3
1/3
1/5
Answers
GPT-4o mini
To find the fraction of the paint that Mark used, we can express it in relation to the amount of paint he originally had.
1. **Amount of paint Mark originally had:** \( \frac{3}{2} \) cans
2. **Amount of paint used:** \( \frac{1}{2} \) can
To find the fraction of paint used, we can divide the amount of paint used by the amount he originally had:
\[
\text{Fraction used} = \frac{\text{Amount used}}{\text{Amount originally had}} = \frac{\frac{1}{2}}{\frac{3}{2}}
\]
When dividing fractions, we multiply by the reciprocal:
\[
\frac{1}{2} \div \frac{3}{2} = \frac{1}{2} \times \frac{2}{3} = \frac{1 \times 2}{2 \times 3} = \frac{2}{6} = \frac{1}{3}
\]
Thus, the fraction of paint that Mark used is \( \frac{1}{3} \).
The correct answer is \( \frac{1}{3} \).
1. **Amount of paint Mark originally had:** \( \frac{3}{2} \) cans
2. **Amount of paint used:** \( \frac{1}{2} \) can
To find the fraction of paint used, we can divide the amount of paint used by the amount he originally had:
\[
\text{Fraction used} = \frac{\text{Amount used}}{\text{Amount originally had}} = \frac{\frac{1}{2}}{\frac{3}{2}}
\]
When dividing fractions, we multiply by the reciprocal:
\[
\frac{1}{2} \div \frac{3}{2} = \frac{1}{2} \times \frac{2}{3} = \frac{1 \times 2}{2 \times 3} = \frac{2}{6} = \frac{1}{3}
\]
Thus, the fraction of paint that Mark used is \( \frac{1}{3} \).
The correct answer is \( \frac{1}{3} \).