Which of the following numbers could be added to 3/14 to make a sum greater than 1/2?
We want to find a number that, when added to 3/14, will result in a sum greater than 1/2. To determine this, let's first find out how much we need to add to 3/14 to get exactly 1/2:
The common denominator for 14 and 2 is 28, so we can write 1/2 as 14/28. Now we can compare 3/14 to 14/28 directly after converting 3/14 to the same denominator:
3/14 = (3 * 2) / (14 * 2) = 6/28
Now we have the following equation to find the number (let's call it x) that needs to be added to 6/28 to get 14/28:
6/28 + x/28 = 14/28
Solving for x:
x/28 = 14/28 - 6/28
x/28 = 8/28
Now simplify the fraction:
x/28 = (8 ÷ 4) / (28 ÷ 4)
x/28 = 2/7
So, x is 2/7. This means that adding 2/7 to 3/14 would result in exactly 1/2. However, we want a sum greater than 1/2, so any number greater than 2/7 would satisfy this condition when added to 3/14.