Question
\( 1 / 2 \) of the students in an art class are currently painting with watercolors. Another \( 1 / 4 \) of them are painting with oil paints. What fraction of the students in the art class are painting, whether with watercolors or oil paints? Write your answer as a fraction or as a whole or mixed number. of the students
Ask by Simmons Salazar. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\frac{3}{4}\) of the students are painting with watercolors or oil paints.
Solution
To determine the fraction of students who are painting with either watercolors or oil paints, you can add the two fractions together.
1. **Fraction painting with watercolors:** \( \frac{1}{2} \)
2. **Fraction painting with oil paints:** \( \frac{1}{4} \)
**Adding the fractions:**
\[
\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}
\]
**Conclusion:**
\(\frac{3}{4}\) of the students in the art class are painting with either watercolors or oil paints.
**Answer:** \(\boxed{\dfrac{3}{4}}\)
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Simplify this solution Bonus Knowledge
To find the total fraction of students painting, we need to add the fractions of students using watercolors and oil paints. The fraction of students painting with watercolors is \( \frac{1}{2} \), and the fraction painting with oil paints is \( \frac{1}{4} \). To add these fractions, we first need a common denominator. The least common denominator of 2 and 4 is 4. Now, convert \( \frac{1}{2} \) to have a denominator of 4: \( \frac{1}{2} = \frac{2}{4} \). Next, add the two fractions: \( \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \). Thus, \( \frac{3}{4} \) of the students in the art class are painting, whether with watercolors or oil paints.
