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).

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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).

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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⋅).

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