Question
wrewrite the expression as a fraction or integer in the simplest form
3 x 27 1/3
3 x 27 1/3
Answers
GPT-4o mini
To rewrite the expression \( 3 \times 27 \frac{1}{3} \) as a fraction or integer in the simplest form, follow these steps:
1. Convert the mixed number \( 27 \frac{1}{3} \) into an improper fraction.
- \( 27 \frac{1}{3} = 27 + \frac{1}{3} = \frac{27 \times 3}{3} + \frac{1}{3} = \frac{81}{3} + \frac{1}{3} = \frac{82}{3} \)
2. Now, substitute it back into the expression:
\[
3 \times 27 \frac{1}{3} = 3 \times \frac{82}{3}
\]
3. When multiplying, the threes will cancel out:
\[
= \frac{3 \times 82}{3} = 82
\]
Thus, the expression \( 3 \times 27 \frac{1}{3} \) simplifies to \( 82 \).
1. Convert the mixed number \( 27 \frac{1}{3} \) into an improper fraction.
- \( 27 \frac{1}{3} = 27 + \frac{1}{3} = \frac{27 \times 3}{3} + \frac{1}{3} = \frac{81}{3} + \frac{1}{3} = \frac{82}{3} \)
2. Now, substitute it back into the expression:
\[
3 \times 27 \frac{1}{3} = 3 \times \frac{82}{3}
\]
3. When multiplying, the threes will cancel out:
\[
= \frac{3 \times 82}{3} = 82
\]
Thus, the expression \( 3 \times 27 \frac{1}{3} \) simplifies to \( 82 \).