Question
Footsteps Preschool buys paint in bulk, then divides the paint into smaller portions for use in the classrooms. Today, they bought 1 1/2 gallons of indigo paint and divided it equally among 6 classrooms. How much indigo paint did each classroom get?
Write your answer as a fraction or as a whole or mixed number.
Write your answer as a fraction or as a whole or mixed number.
Answers
Answered by
GPT-4o mini
To determine how much indigo paint each classroom receives, we first need to convert the mixed number \( 1 \frac{1}{2} \) gallons into an improper fraction.
1. Convert \( 1 \frac{1}{2} \) into an improper fraction:
\[
1 \frac{1}{2} = \frac{2 \cdot 1 + 1}{2} = \frac{2 + 1}{2} = \frac{3}{2}
\]
2. Now, we need to divide \( \frac{3}{2} \) gallons by 6 classrooms. To divide by a whole number, we can multiply by the reciprocal:
\[
\frac{3}{2} \div 6 = \frac{3}{2} \times \frac{1}{6}
\]
3. Multiply the fractions:
\[
\frac{3 \cdot 1}{2 \cdot 6} = \frac{3}{12}
\]
4. Simplify \( \frac{3}{12} \):
\[
\frac{3}{12} = \frac{1}{4}
\]
Thus, each classroom received \( \frac{1}{4} \) gallons of indigo paint.
1. Convert \( 1 \frac{1}{2} \) into an improper fraction:
\[
1 \frac{1}{2} = \frac{2 \cdot 1 + 1}{2} = \frac{2 + 1}{2} = \frac{3}{2}
\]
2. Now, we need to divide \( \frac{3}{2} \) gallons by 6 classrooms. To divide by a whole number, we can multiply by the reciprocal:
\[
\frac{3}{2} \div 6 = \frac{3}{2} \times \frac{1}{6}
\]
3. Multiply the fractions:
\[
\frac{3 \cdot 1}{2 \cdot 6} = \frac{3}{12}
\]
4. Simplify \( \frac{3}{12} \):
\[
\frac{3}{12} = \frac{1}{4}
\]
Thus, each classroom received \( \frac{1}{4} \) gallons of indigo paint.