Which of the following is an improper fraction?
Responses:
7 2/9
20/25
2 9/7
25/20
25/20
25/20 is also an improper fraction.
To determine which of the given options is an improper fraction, we should first understand what an improper fraction is.
An improper fraction is a fraction where the numerator (the number on top) is equal to or greater than the denominator (the number on the bottom).
Now, let's examine each option:
1. 7 2/9: This is a mixed number, which consists of a whole number (7) and a fraction (2/9). To convert the mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. In this case, (7 * 9) + 2 = 63 + 2 = 65. So, the improper fraction equivalent of 7 2/9 is 65/9.
2. 20/25: This is a proper fraction because the numerator (20) is less than the denominator (25).
3. 2 9/7: Similar to the first option, this is a mixed number. To convert it to an improper fraction, we multiply the whole number by the denominator and add the numerator. (2 * 7) + 9 = 14 + 9 = 23. So, the improper fraction equivalent of 2 9/7 is 23/7.
4. 25/20: This is a proper fraction because the numerator (25) is greater than the denominator (20).
Therefore, the only option that represents an improper fraction is 2 9/7, which is equivalent to 23/7.