How to Find Convert Fractions and Mixed Numbers into Decimals

A Step-by-step Guide to Convert Fractions and Mixed Numbers into Decimals

Here’s a step-by-step guide on how to convert fractions and mixed numbers into decimals:

Converting Fractions to Decimals:

1. Identify the fraction you want to convert (e.g.,(\frac{3}{4]\)).
2. Divide the numerator (top number) by the denominator (bottom number). You can use a calculator, long division, or short division to perform the division.Example: 3 ÷ 4 = 0.75
3. Write down the result as a decimal number (e.g., 0.75).

Converting Mixed Numbers to Decimals:

1. Identify the mixed number you want to convert (e.g., 2 \(\frac{1}{2}\)).
2. Convert the fraction part of the mixed number into a decimal by dividing the numerator by the denominator.Example: 1 ÷ 2 = 0.5
3. Add the whole number part of the mixed number to the decimal you found in step 2.Example: 2 (whole number) + 0.5 (decimal) = 2.5
4. Write down the result as a decimal number (e.g., 2.5).

By following these steps, you can convert fractions and mixed numbers into decimal numbers with ease. Keep in mind that some fractions will have repeating decimals (e.g., \(\frac{1}{3}\) = 0.333…), which can be represented with a bar or a dot over the repeating digit(s) (e.g., 0.3̅ or 0.3⋅).