Converting decimals to fractions might look tricky at first, but don’t worry! Once you understand the steps, it’s really simple. Here’s how to do it:

Step 1: Find the Decimal

First, take a look at the decimal you want to change. For example, let’s use $0.75$. Count how many digits are after the decimal point. In this case, there are two digits.

Step 2: Write it as a Fraction

Next, you need to turn the decimal into a fraction. Think of the number as being over a power of ten. Since $0.75$ has two digits after the decimal, you can write it like this:

$$\frac{75}{100}$$

This means you take $75$ (that's the number without the decimal) and put it over $100$ (which is $10$ times $10$, because there are two decimal places).

Step 3: Simplify the Fraction

Now, let's make that fraction simpler. To do this, find the greatest common divisor (GCD) of the top number (numerator) and the bottom number (denominator). For $75$ and $100$, both of these numbers can be divided by $25$.

When we divide:

• $75 \div 25 = 3$
• $100 \div 25 = 4$

So, the simpler version of the fraction is:

$$\frac{3}{4}$$

Step 4: Check Your Work

It's always smart to double-check your work! You can change the fraction back to a decimal to see if you did it right. When you divide $3$ by $4$, you should get $0.75$ again. If you do, you got it!

Practice Makes Perfect

The more you practice, the easier it will become! Try converting other decimals like $0.5$, $0.2$, or even repeating decimals like $0.333...$

In short, changing decimals into fractions means figuring out how many decimal places you have, writing it over the correct power of ten, simplifying it, and checking your answer. With this method, you’re all set to convert any decimal into a fraction! Give it a try, and you’ll see how easy it can be.