11)
the denominator of a fraction is 3 more than the numerator.
if 1 is added to the numerator and 2 is added to the
denominator, the resulting fraction is equal to what is the
value of the original fraction.

Let x = the numerator

Let x + 3 = the denominator

(x + 5)/(x + 8) = 4/5         Cross multiply

5x + 25 = 4x + 32

x = 7

x + 3 = 10

7/10

Step-by-step explanation:

This question is based on greatest common factor.

There are 45 red buttons and 60 yellow buttons

factors of 45 = 3,5,15

factors of 60 = 2,3,4,5,6,12,15

Hence the highest common factor is 15

Narci can use 15 boxes to divide buttons equally.

She can divide 45 red buttons in 15 boxes by putting 3 buttons in each box.

She can divide 60 yellow buttons in 15 boxes by putting 4 buttons in each box.