I'm not sure how to answer this.

Select two fractions whose sum is 3/4 and whose denominators are both the same but not equal to 4

3 answers

1/8 + 5/8 = 6/8 = 3/4
7/12 + 2/12 = 9/12 = 3/4
and so on
How about 3/8 and 3/8 or

1/8 and 5/8 ? or

13/40 and 17/40 ?

method, pick a multiple of 4, e.g. 36
then 3/4 = ?/36 or 27/36 = 3/4

now split the 27 into 2 parts so they have a sum of 27
how about 5/36 and 22/36

check: 5/36 and 22/36 have the same denominator, not 4
and their sum is 5/36 + 22/36 = 27/36 = 3/4
Thanks! Also, how are equivalent fractions used in writing a sum of two like fractions in simplest form?

Ans: Equivalent fractions can be reduced into simplest form.