How do you compare fractions and decimals
Answers
Fractions are ratios of two numbers. Often, these numbers are each whole numbers, such as 1/2 or 3/4. Fractions, however, can also be used to express ratios of partial numbers. They are mostly used for portions that are easily broken apart. Fractions also represent a different way to describe division. For example, 3/4 can mean "three fourths" or "three divided by four."
Decimals are numbers that fall between integers and are described as digits following a decimal point. Decimals use a system of numbers based on units of tens, which results in the spaces past the decimal point as tenths, hundredths, thousandths and so on.
Fractions and decimals are similar because they both are ways to express partial numbers. Additionally, fractions can be expressed as decimals by performing the division of the ratio. Decimals can also be expressed as fractions in terms of tenths, hundredths, thousandths and so on.
One main difference between fractions and decimals is that fractions tend to be simple expressions of ratios of whole numbers. They do not always divide into an easy-to-express decimal. For example, when divided, 1/3 becomes a repeating decimal of 0.33333 ... Fractions are also easily converted into their reciprocal, the number it can be multiplied with to make 1, by simply inverting the fraction. For example, the reciprocal of 2/5 is 5/2. Conversely, decimals can be used to describe long, complex and potentially infinite numbers, such as the value of pi. They are also useful in describing partial numbers when a whole-number ratio is not available to make a fraction.
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