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Before adding or subtracting two fractions they are converted into like fractions. Explain with examples why this is necessary.

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Q: Before adding or subtracting two fractions they are converted into like fractions Explain with examples why this is necessary?
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There are none. Any improper fraction can be converted ito a mixed fraction and conversely.


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What is a vulgar fraction?

A fraction written with an integer numerator placed over a (nonzero) integer denominator is called a vulgar fraction. Vulgar fractions are also known as common fractions or simple fractions. Examples are 2/5 and 7/3. In those examples, the numerators are 2 and 7, the denominators are 5 and 3, all of which are integers. Simple/common/vulgar fractions are distinguished from compound fractions, from complex fractions, from mixed numerals, from decimal fractions, and from irrational fractions. Examples of fractions that are not common fractions are: * 0.75 -- decimal fraction * (3/4) / 2 -- complex fraction * (3/4) / (2/3) -- complex fraction * (1 1/2) / 2 -- complex fraction with mixed numeral in numerator * 3/4 of 5/7 -- compound fraction * 75% --- which equals 75/100, but written as a percent, it has neither a numerator nor a denominator * pi/4 -- irrational fraction. The distinction between common fractions and fractions that are not common is NOT the same as the distinction between proper fractions and improper fractions (which is explained below, but which is not needed to understand what a common fraction is). Common fractions can be either proper or improper. ------ If the absolute value of the numerator (the number on top) is less than the absolute value of the denominator (the number on the bottom) the fraction is called a PROPER fraction.. Examples are 2/3 and and -2/5. If the absolute value of the numerator is greater than the absolute value of the denominator (the number on the bottom) the fraction is called IMPROPER. Examples are 3/2 and and -5/2. Improper fractions can be converted to a mixed numeral, that is, an integer plus a fraction. For example 7/3 is equal to 2 1/3.


What fractions are equivalent to 21 over 48?

There are infinitely many fractions. Two examples are 210/480 and 7/16