If 5/17 of a region is shaded, what fraction is not shaded?
17/17 - 5/17 = 12/17
17/17 which is 1
- 5/17
To find the fraction that is not shaded, we need to subtract the fraction that is shaded from 1.
Given that 5/17 of the region is shaded, we can subtract this fraction from 1:
1 - 5/17
To subtract fractions, we need a common denominator. In this case, we can multiply both the numerator and denominator of 5/17 by 17 (the denominator of the other fraction):
1 - (5/17)*(17/17)
1 - (85/289)
Now, subtract the fractions:
1 - 85/289
To simplify the fraction further, we can find a common denominator of 289 and subtract the numerators:
(289 - 85) / 289
= 204/289
So, the fraction that is not shaded is 204/289.