How to Find Convert Fractions and Mixed Numbers into Decimals
How to find convert fractions and mixed numbers into decimals, step by step: the rule in plain language, solved examples worked one line at a time, and practice questions so you can try it yourself before moving on.
Converting fractions and mixed numbers into decimals is a fairly straightforward process. Here’s how to do it in a few simple steps.
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:
- Identify the fraction you want to convert (e.g.,(frac{3}{4])).
- 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
- Write down the result as a decimal number (e.g., 0.75).
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Converting Mixed Numbers to Decimals:
- Identify the mixed number you want to convert (e.g., 2 (frac{1}{2})).
- Convert the fraction part of the mixed number into a decimal by dividing the numerator by the denominator.Example: 1 ÷ 2 = 0.5
- 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
- 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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