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For exmaple you can represent one third more accurately with fractions (1/3) than with decimals (.33 etc etc). So why do we use the decimal system ?
Fractions and decimals are two different ways of representing numbers that are not whole. Fractions are written as a ratio of two integers, while decimals are written using a decimal point followed by digits to the right of the decimal point.
Decimals are often used in real-world applications because they are more precise and easier to work with than fractions. Decimals can represent numbers to any degree of accuracy, while fractions are limited to certain denominators.
To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, to convert 3/4 to a decimal, divide 3 by 4 which equals 0.75.
Decimals are typically more accurate than fractions because they can represent numbers to any degree of precision. Fractions are limited to certain denominators, which may not accurately represent the value of a number.
Fractions are still commonly used in certain fields such as cooking and construction, where precise measurements are not necessary. Additionally, certain calculations may be easier to perform using fractions rather than decimals. However, in most cases, decimals are more widely used and accurate.