Percentages, decimals, and fractions are all ways to show numbers. They are connected in some simple ways. Let’s break it down:

1. Changing From One To Another:

   • To turn a percentage into a decimal, just divide by 100. For example: $\text{Decimal} = \frac{\text{Percentage}}{100}$

   • To change a decimal back into a percentage, you multiply by 100. Like this: $\text{Percentage} = \text{Decimal} \times 100$

   • A percentage can also be seen as a fraction of a whole. So, this works too: $\text{Fraction} = \frac{\text{Percentage}}{100}$

2. An Example:

   • If you look at 50%, it is the same as $0.50$ in decimal and $\frac{1}{2}$ as a fraction.

3. Why It Matters:

   • Knowing how to change between these is really helpful. For instance, if you want to find out what 20% of 150 is, you can do this: $20\% \, \text{of} \, 150 = 0.20 \times 150 = 30$

Understanding these connections helps you solve problems with percentages easily!