To determine which of the fractions has been simplified to lowest terms, we need to check for common factors between the numerator and the denominator and ensure that the fraction is reduced as much as possible.
A. 45/171
Both 45 and 171 can be divided by 9.
Simplified: 5/19
B. 2/13
There are no common factors between 2 and 13.
Already simplified.
C. 40/88
Both 40 and 88 can be divided by 8.
Simplified: 5/11
D. 40/152
Both 40 and 152 can be divided by 8.
Simplified: 5/19
E. 13/19
There are no common factors between 13 and 19.
Already simplified.
The fractions that have been simplified to their lowest terms are B. 2/13 and E. 13/19.
Hope this helps!