SOLUTION: Find a fraction equivalent to 1/2. The numerator is a prime number. The denominator is a multiple of 5?

Question 1092570: Find a fraction equivalent to 1/2. The numerator is a prime number. The denominator is a multiple of 5?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

Numerator, 5, is a prime number.
Denominator, 10, is (2)(5), therefore a multiple of 5.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

If the fraction is to have a denominator that is a multiple of 5, and the fraction must be equivalent to 1/2, then the possible denominators are the multiples of 10: 10, 20, 30, 40, ....

5/10 is a fraction with a prime numerator and a denominator that is a multiple of 5.

But any other fraction equivalent to 1/2 and with a denominator that is a multiple of 5 would just be the fraction 5/10, multiplied top and bottom by some integer.

But that would make the numerator not prime. So not only is 5/10 and answer to the problem, it is the ONLY answer.
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