What is the result of multiplying 11/12 by 1 1/2?

To find the result of multiplying ( \frac{11}{12} ) by ( 1 \frac{1}{2} ), first, convert the mixed number into an improper fraction.

The mixed number ( 1 \frac{1}{2} ) can be represented as follows:

1. Multiply the whole number by the denominator: ( 1 \times 2 = 2 ).

2. Add the numerator to this result: ( 2 + 1 = 3 ).

3. Therefore, ( 1 \frac{1}{2} = \frac{3}{2} ).

Next, we multiply the two fractions:

[

\frac{11}{12} \times \frac{3}{2} = \frac{11 \times 3}{12 \times 2} = \frac{33}{24}.

]

Now simplify ( \frac{33}{24} ):

1. Find the greatest common divisor of the numerator and the denominator. The GCD of 33 and 24 is 3.

2. Divide both the numerator and the denominator by 3:

( \frac{33 \div 3}{24 \div 3