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Converting Fractions to Decimals Calculator
To convert a fraction to a decimal, you have a few different methods depending on the fraction's form. Here are the common approaches:
Divide the numerator by the denominator:
Divide the numerator (the top number) by the denominator (the bottom number).
Example: To convert 3/4 to a decimal, divide 3 by 4: 3 ÷ 4 = 0.75.
Long division method:
Perform long division with the numerator as the dividend and the denominator as the divisor.
Keep dividing until you either reach a recurring pattern or the desired level of decimal places.
Example: To convert 5/8 to a decimal using long division: 5 ÷ 8 = 0.625.
Equivalent fraction method:
Convert the fraction to an equivalent fraction with a denominator that is a power of 10 (10, 100, 1000, etc.).
Move the decimal point in the numerator the same number of places as you added zeros to the denominator.
Example: To convert 2/5 to a decimal using equivalent fractions: 2/5 is equivalent to 4/10. Therefore, the decimal form is 0.4.
Fraction to decimal conversion table:
Memorize or refer to a fraction to decimal conversion table to quickly find the decimal equivalents of common fractions.
Remember that some fractions may have repeating or recurring decimals, which means the decimal representation will have a pattern that repeats indefinitely. In such cases, you can either round the decimal to a certain number of decimal places or use a vinculum notation to represent the repeating pattern.
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