🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

12 divided by 1 1/2

Understand the Problem

The question is asking to perform the division of 12 by 1 and a half (1 1/2). This involves converting the mixed number into an improper fraction to carry out the division.

Answer

$8$
Answer for screen readers

The final answer is $8$.

Steps to Solve

  1. Convert the mixed number to an improper fraction

To divide by $1 \frac{1}{2}$, we first convert it to an improper fraction.

The mixed number $1 \frac{1}{2}$ can be converted as follows:

$$ 1 \frac{1}{2} = 1 + \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2} $$

  1. Set up the division problem

We can express the problem of dividing by an improper fraction as follows:

$$ 12 \div (1 \frac{1}{2}) = 12 \div \left( \frac{3}{2} \right) $$

  1. Change division to multiplication

When dividing by a fraction, we can multiply by its reciprocal. The reciprocal of $\frac{3}{2}$ is $\frac{2}{3}$. Therefore:

$$ 12 \div \left( \frac{3}{2} \right) = 12 \times \left( \frac{2}{3} \right) $$

  1. Multiply the fractions

Now we can perform the multiplication:

$$ 12 \times \left( \frac{2}{3} \right) = \frac{12 \times 2}{3} = \frac{24}{3} $$

  1. Simplify the fraction

Finally, simplify $\frac{24}{3}$:

$$ \frac{24}{3} = 8 $$

The final answer is $8$.

More Information

The process of dividing by a mixed number involves converting it into an improper fraction, which allows us to rearrange the division into a multiplication problem. This method can be applied to other mixed numbers as well.

Tips

  • Mixing up addition and multiplication when converting mixed numbers.
  • Forgetting to convert the division into multiplication by using the reciprocal of the fraction.
Thank you for voting!
Use Quizgecko on...
Browser
Browser