91Ó°ÊÓ

Converting a fraction to a decimal is a vital math skill. This process involves changing the fraction into an equivalent decimal form by dividing the numerator (top number) by the denominator (bottom number). For example, to convert the fraction \(\frac{5}{8}\), we need to divide 5 by 8.

Here's how to do it:
- Identify the numerator and denominator. In this case, 5 is the numerator, and 8 is the denominator.
- Perform the division: \(\frac{5}{8} = 0.625\).

By following these steps, you can convert any fraction into its decimal equivalent.

Division is one of the four basic operations in arithmetic. To convert fractions to decimals, you need to divide the numerator by the denominator. Here, we'll use the example of \(\frac{5}{8}\).

To perform this division, you can:
- Use a calculator: Simply enter '5 ÷ 8' to get the result, which is 0.625.
- Perform the division manually: This involves the long division method.

Ensure that you get a repeating or terminating decimal as a result. For \(\frac{5}{8}\), the division results in the decimal 0.625, which is a terminating decimal.

The long division method helps in dividing large numbers and can be used to convert fractions to decimals. Here's a detailed guide on how to do it for \(\frac{5}{8}\):

1. Set up the division: Write 5 (the numerator) inside the division symbol and 8 (the denominator) outside.
2. Add a decimal point and zeros: Since 5 is smaller than 8, add a decimal point and write 0 after 5, making it 50. Continue by adding several zeros if needed.
3. Divide: 8 goes into 50 six times (8 x 6 = 48). Write the 6 above the division line.
4. Subtract: Subtract 48 from 50, which leaves 2. Bring down a zero, making it 20.
5. Repeat: 8 goes into 20 two times (8 x 2 = 16). Write the 2 next to 6, making it 0.62.
6. Subtract again: Subtract 16 from 20, which leaves 4. Bring down another zero making it 40.
7. Divide once more: 8 goes into 40 five times (8 x 5 = 40). Write the 5 next to 62, making it 0.625.

Now you have your result: 0.625. This method ensures accuracy and helps you understand each step of the division process.