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

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Multiple Choice

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

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

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