Which of the following is an improper fraction?(1 point)
Responses
7 2/9
20/25
25/20
2 9/7
2 9/7
An improper fraction is a fraction where the numerator is equal to or greater than the denominator.
Out of the given options, the only improper fraction is:
2 9/7
Therefore, the correct answer is 2 9/7.
To determine which of the following is an improper fraction, we need to understand what an improper fraction is. An improper fraction is a fraction where the numerator (the top number) is equal to or greater than the denominator (the bottom number).
Now, let's analyze each of the given options:
1. 7 2/9: This is a mixed number, which consists of a whole number part (7) and a fractional part (2/9). To convert this mixed number into an improper fraction, we multiply the whole number part (7) by the denominator (9) and add the numerator (2) to get the new numerator. The new fraction would be (7 * 9 + 2) / 9 = 65/9. Therefore, option 1 is not an improper fraction.
2. 20/25: This is a fraction in its simplest form. To check if it is an improper fraction, we compare the numerator (20) with the denominator (25). In this case, 20 is less than 25. Therefore, option 2 is not an improper fraction.
3. 25/20: This is a fraction, and we can observe that the numerator (25) is greater than the denominator (20). So, option 3 is an improper fraction.
4. 2 9/7: Similar to option 1, this is a mixed number. To convert it to an improper fraction, we multiply the whole number part (2) by the denominator (7) and add the numeral part (9) to get the new numerator. The new fraction would be (2 * 7 + 9) / 7 = 23/7. Therefore, option 4 is not an improper fraction.
Therefore, the improper fraction among the given options is option 3: 25/20.