Christie decided to make bracelets for the fifth grade class girls. Two-fifths of the bracelets were finished on Monday, and 3/7 of the bracelets were finished on Tuesday. If she finishes 1/7 of the bracelets on Wednesday, will all of the bracelets be finished?

2/5 + 3/7 + 1/7 = (14+15+5)/35 = 34/35

So, no.

To determine whether all the bracelets will be finished, we need to add up the portions of bracelets finished on each day and compare it to the total number of bracelets.

Let's say the total number of bracelets is represented by 'x.'

On Monday, Christie finished two-fifths of the bracelets, which is (2/5)x.

On Tuesday, she finished 3/7 of the bracelets, which is (3/7)x.

On Wednesday, she finished 1/7 of the bracelets, which is (1/7)x.

To find out if all the bracelets are finished, we need to compare the sum of these portions to the total number of bracelets:

(2/5)x + (3/7)x + (1/7)x = x * [(2/5) + (3/7) + (1/7)]

To simplify the expression in the brackets, we find the least common multiple (LCM) of the denominators, which is 35.

(2/5) = 14/35
(3/7) = 15/35
(1/7) = 5/35

So, the expression becomes:

x * [(14/35) + (15/35) + (5/35)] = x * (34/35)

Now, we have:

x * (34/35) = x

So, the sum of the portions of completed bracelets is equal to the total number of bracelets (x). Therefore, all the bracelets will be finished.