Bot GPT 4-o mini To multiply \( \frac{2}{3} \) by \( 1 \frac{1}{4} \), first convert the mixed number \( 1 \frac{1}{4} \) into an improper fraction.
-
Convert \( 1 \frac{1}{4} \): \[ 1 \frac{1}{4} = 1 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} \]
-
Now, multiply \( \frac{2}{3} \) by \( \frac{5}{4} \): \[ \frac{2}{3} \times \frac{5}{4} = \frac{2 \times 5}{3 \times 4} = \frac{10}{12} \]
-
Simplify \( \frac{10}{12} \): The greatest common divisor (GCD) of 10 and 12 is 2. Divide both the numerator and the denominator by 2: \[ \frac{10 \div 2}{12 \div 2} = \frac{5}{6} \]
Thus, the answer in simplest form is \( \frac{5}{6} \).
1 answer