91Ó°ÊÓ

When you see a fraction and need to find its reciprocal, you simply flip the numerator (top number) and the denominator (bottom number).
For example, the reciprocal of \(\frac{2}{3}\) is \(\frac{3}{2}\). This is because we switched the \‘2\’ and the \‘3\’.
Reciprocals are essential in fraction division. To divide by a fraction, it's easier to multiply by its reciprocal. This trick makes things simpler and helps avoid errors.
Always remember to double-check that you have correctly identified the reciprocal before proceeding with further operations.

When multiplying any number by zero, the answer is always zero. This is a basic yet crucial rule in mathematics.
In our problem, after converting the division into multiplication by the reciprocal, we multiply zero by \(\frac{3}{2}\).
Since zero times any fraction, whole number, or decimal is zero, we don't need to perform further calculations.
\begin{align*} 0 \times \frac{3}{2} = 0 \ \text{Thus}, \ 0 \times \text{anything} = 0. \ \text{Simple as that!} \ \text{So} \ 0 \times \frac{3}{2} = 0. \ \text{This is true for any number} \ \text{multiplied by zero} \end{align*}
Using this rule can save time and reduce complexity in calculations.

Simplifying fractions means reducing them to their simplest form where the numerator and denominator have no common factors other than 1.
In math problems, simplifying fractions helps in making them easier to understand and work with.
For example, if we have \(\frac{6}{8}\), we can simplify it to \(\frac{3}{4}\) by dividing both the numerator and the denominator by their greatest common factor (GCF) which is 2, in this case.
Another example: Suppose we have a problem like \(\frac{9}{15}\), by finding the GCF of 9 and 15 (which is 3) and dividing both terms by 3, we simplify it to \(\frac{3}{5}\).
Always ensure to simplify fractions wherever possible for more manageable calculations and clearer results.