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12 5 6 As a Improper Fraction
We’re poly-fractions today! The number line is going to see some funny types. Today, we’ll be writing improper fractions, which are written in mixed units--like 12 7 3 1/3--on the number line.
Improper fractions can also be represented as a mixed number. To convert an improper fraction into a mixed number, divide the numerator by the denominator. The resultant becomes the whole number, and the remainder becomes the numerator of the new fraction. The denominator of the new fraction is the same as the original denominator. If there is no remainder, then there is no fraction--the result is simply a whole number. This is called a mixed fraction. Thus, an improper fraction can be expressed as a mixed fraction, where quotient represents the whole number, remainder becomes the numerator and divisor is the denominator. A fraction, where the numerator is less than the denominator is called the proper fraction for example, \(\frac{2}{3}\), \(\frac{5}{7}\), \(\frac{3}{5}\) are proper fractions. A fraction with numerator 1 is called a unit fraction.
Fractions that are greater than 0 but less than 1 are called proper fractions. In proper fractions, the numerator is less than the denominator. When a fraction has a numerator that is greater than or equal to the denominator, the fraction is an improper fraction. An improper fraction is always 1 or greater than 1. And, finally, a mixed number is a combination of a whole number and a proper fraction. A fraction can be identified as proper or improper by comparing the numerator and the denominator. Fractions that are less than one are known as proper fractions, and the numerator (the top number) is less than the denominator (the bottom number). A fraction with a numerator that is greater than or equal to the denominator is known as an improper fraction. It represents a number greater than or equal to one. Numbers that are not whole numbers, but are greater than one, can be written as improper fractions or mixed numbers. A mixed number has a whole number part and a fraction part. (Source: www.montereyinstitute.org)