To divide the fraction \( \frac{11}{12} \) by \( \frac{1}{3} \), you can use the rule that dividing by a fraction is equivalent to multiplying by its reciprocal.
So, we can set up the calculation like this:
\[ \frac{11}{12} \div \frac{1}{3} = \frac{11}{12} \times \frac{3}{1} \]
Now, multiply the numerators and the denominators:
\[ = \frac{11 \times 3}{12 \times 1} = \frac{33}{12} \]
Next, we can simplify \( \frac{33}{12} \):
To simplify, divide the numerator and the denominator by their greatest common divisor (GCD), which is 3:
\[ = \frac{33 \div 3}{12 \div 3} = \frac{11}{4} \]
Now, convert \( \frac{11}{4} \) to a mixed number:
\[ 11 \div 4 = 2 \quad \text{remainder } 3 \]
So, \( \frac{11}{4} = 2 \frac{3}{4} \).
Consequently, the answer is \( 2 \) and \( \frac{3}{4} \) or \( 2 \frac{3}{4} \).
From your options, the correct answer is:
2 and three-fourths.
1 answer