Which one is greater 12/20 or 5/8
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Hello.

The answer is 12/20. Even though it is a smaller fraction, it is not in simplest terms yet. A number that goes into both is 2. Divide numerator and denominator by 2 to get 6/10. But it is still not in simplest terms. 2 again goes into both numbers. Divide numerator/denominator by 2 to get 3/5. This is the simplest terms, and is greater than 5/8.

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step-by-step explanation:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal