Final answer:
Yes, some of the fractions can be simplified and others cannot.
The fractions that can be simplified are:
- 31/26 = 1 5/26
- 36/27 = 4/3
- 11/10 = 1 1/10
- 8/11 = 8/11
- 26/3 = 8 2/3
- 7/19 = 7/19
Step-by-step explanation:
The fractions that can be simplified from the given list are:
1. 31/26 = 1 5/26
To simplify this fraction, we divide the numerator (31) by the denominator (26). The result is 1 with a remainder of 5. Therefore, the fraction simplifies to 1 5/26.
2. 36/27 = 4/3
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor (GCD), which is 9. Dividing 36 by 9 gives us 4, and dividing 27 by 9 gives us 3. Therefore, the fraction simplifies to 4/3.
3. 11/10 = 1 1/10
To simplify this fraction, we divide the numerator (11) by the denominator (10). The result is 1 with a remainder of 1. Therefore, the fraction simplifies to 1 1/10.
4. 8/11 = 8/11
This fraction is already in its simplest form. The numerator (8) and the denominator (11) do not have any common factors other than 1. Therefore, the fraction remains as 8/11.
5. 26/3 = 8 2/3
To simplify this fraction, we divide the numerator (26) by the denominator (3). The result is 8 with a remainder of 2. Therefore, the fraction simplifies to 8 2/3.
6. 7/19 = 7/19
This fraction is already in its simplest form. The numerator (7) and the denominator (19) do not have any common factors other than 1. Therefore, the fraction remains as 7/19.