Bot GPT 4-o mini To multiply \(\frac{5}{6}\) by \(2\frac{3}{4}\), we first need to convert the mixed number \(2\frac{3}{4}\) into an improper fraction.
-
Convert \(2\frac{3}{4}\):
\[ 2\frac{3}{4} = 2 + \frac{3}{4} = \frac{2 \times 4}{4} + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \]
-
Now, multiply \(\frac{5}{6}\) by \(\frac{11}{4}\):
\[ \frac{5}{6} \times \frac{11}{4} = \frac{5 \times 11}{6 \times 4} = \frac{55}{24} \]
-
Convert \(\frac{55}{24}\) to a mixed number:
To do this, divide 55 by 24:
\[ 55 \div 24 = 2 \quad \text{(remainder: } 7\text{)} \]
So, \(55 = 2 \times 24 + 7\).
Therefore,
\[ \frac{55}{24} = 2 \frac{7}{24} \]
So, the final answer is:
\[ 2\frac{7}{24} \]
1 answer