Proper fractions
a fraction whose numerator is smaller than the denominater
Proper fractions are fractions where the numerator (the top number) is smaller than the denominator (the bottom number). These types of fractions represent a part of a whole and have a value between 0 and 1. For example, 3/5 is a proper fraction because 3 is less than 5. This fraction represents three out of five equal parts of something.
To convert an improper fraction (where the numerator is bigger than the denominator) to a proper fraction, you need to divide the numerator by the denominator. The whole number part of the result becomes the whole number in the proper fraction, and the remainder becomes the numerator. For example, 7/4 can be converted to a proper fraction by dividing 7 by 4, which equals 1 with a remainder of 3. Therefore, 7/4 as a proper fraction is 1 3/4.
Proper fractions can be added, subtracted, multiplied, and divided just like other types of fractions. When adding and subtracting proper fractions, you need to find a common denominator by multiplying the denominators together. When multiplying proper fractions, multiply the numerators together and the denominators together. When dividing proper fractions, multiply the first fraction by the reciprocal of the second fraction.
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