Improper fractions
a fraction with its numerator equal to or greater than its denominator
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction because the numerator (7) is greater than the denominator (4). Improper fractions can be converted to mixed numbers, which represent the same value.
To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number portion of the mixed number, and the remainder is the numerator of the fractional portion.
For example, to convert the improper fraction 7/4 to a mixed number, divide 7 by 4. The quotient is 1, and the remainder is 3. So, the mixed number equivalent of 7/4 is 1 3/4.
Improper fractions can also be simplified or reduced, just like proper fractions. To simplify an improper fraction, divide both the numerator and the denominator by their greatest common factor (GCF). For example, to simplify the fraction 10/6, we first find that the GCF of 10 and 6 is 2. Dividing both the numerator and denominator by 2, we get 5/3.
In summary, improper fractions are fractions where the numerator is greater than or equal to the denominator. They can be converted to mixed numbers, simplified or reduced by dividing both the numerator and denominator by their greatest common factor.
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