Question

Which of the following fraction is already in its simplest form?

• A. 9 $\frac{6}{9}$
• B. 8 $\frac{16}{24}$
  
• C. 5 $\frac{10}{15}$
• D. 7 $\frac{11}{17}$

Answer 1

The correct option is D 7 $\frac{11}{17}$

For a mixed fraction to be in the simplest form, the numerator and denominator of fraction part should have G.C.F 1.

Option A-
Factors of 10- 1 , 2, 5, 10
Factors of 15- 1, 3 , 5 ,15
GCF -5
So, 5 $\frac{10}{15}$ is not in its simplest form.

Option C-
Factors of 6- 1, 2, 3, 6
Factors of 9- 1, 3 , 9
GCF-3
So, 9 $\frac{6}{9}$ is not in its simplest form.

Option D-
Factors of 16 - 1 , 2, 4, 8, 16
Factors of 24- 1 , 2 , 3, 4, 6 , 8 , 12, 24
GCF -8
So, 8 $\frac{16}{24}$ is not in its simplest form.

Option B-
Factors of 11- 1, 11
Factors of 17- 1, 17
GCF -1
So, $7\frac{11}{17}$ is in its simplest form.