How Can You Use Long Division to Convert Fractions to Decimals?

Converting fractions to decimals using long division is a useful skill that's easy to learn! Here’s a simple way to do it, step by step.

Identify the Fraction:
For example, let’s look at the fraction $\frac{3}{4}$ .
Here, 3 is the numerator (the top number) and 4 is the denominator (the bottom number).
Set Up the Division:
You will divide the numerator by the denominator, which means you’ll divide 3 by 4.
To do long division, write it like this:
- Start with 3.0000 (we add some zeros for better accuracy).
- Set up the long division just like regular division.
Perform the Long Division:
- First, see how many times 4 can fit into 3. It can't, so put a 0 in your answer.
- Move to the next digit, the first 0 in 3.0000, and now look at 30.
- How many times does 4 fit into 30? That’s 7 times (because $4 \times 7 = 28$ ).
- Write 7 in your answer and subtract 28 from 30. This leaves you with a remainder of 2.
- Bring down the next 0 to make it 20. Ask yourself how many times does 4 fit into 20? That’s 5 times (because $4 \times 5 = 20$ ).
- Subtract 20 from 20, and now you have a remainder of 0.
Conclusion:
You've finished your division! So, $\frac{3}{4} = 0.75$ . Easy, right?

Repeat for Tough Fractions:
If your fraction doesn't divide evenly, just keep going! Add more zeros until you get a decimal that works or notice a repeating pattern.
Practice:
The more you practice long division, the easier it becomes to change fractions into decimals!

Let’s try another one: converting $\frac{1}{3}$ :

So, $\frac{1}{3} = 0.333...$ (the 3 keeps going forever).

Using long division is a great way to understand numbers better and see how fractions and decimals are connected! Have fun practicing!

Converting fractions to decimals using long division is a useful skill that's easy to learn! Here’s a simple way to do it, step by step.

Identify the Fraction:
For example, let’s look at the fraction $\frac{3}{4}$ .
Here, 3 is the numerator (the top number) and 4 is the denominator (the bottom number).
Set Up the Division:
You will divide the numerator by the denominator, which means you’ll divide 3 by 4.
To do long division, write it like this:
- Start with 3.0000 (we add some zeros for better accuracy).
- Set up the long division just like regular division.
Perform the Long Division:
- First, see how many times 4 can fit into 3. It can't, so put a 0 in your answer.
- Move to the next digit, the first 0 in 3.0000, and now look at 30.
- How many times does 4 fit into 30? That’s 7 times (because $4 \times 7 = 28$ ).
- Write 7 in your answer and subtract 28 from 30. This leaves you with a remainder of 2.
- Bring down the next 0 to make it 20. Ask yourself how many times does 4 fit into 20? That’s 5 times (because $4 \times 5 = 20$ ).
- Subtract 20 from 20, and now you have a remainder of 0.
Conclusion:
You've finished your division! So, $\frac{3}{4} = 0.75$ . Easy, right?

Repeat for Tough Fractions:
If your fraction doesn't divide evenly, just keep going! Add more zeros until you get a decimal that works or notice a repeating pattern.
Practice:
The more you practice long division, the easier it becomes to change fractions into decimals!

Let’s try another one: converting $\frac{1}{3}$ :

So, $\frac{1}{3} = 0.333...$ (the 3 keeps going forever).

Using long division is a great way to understand numbers better and see how fractions and decimals are connected! Have fun practicing!

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