What two fractions, add up to 1/3?
i know its a very very stupid question, but my teacher said adding 5/30 + 5/30 is wrong (Which i did), but maybe he read the question wrong.
Answer, Maybe?
How about 1/6 + 1/6 = 2/6 = 1/3
or maybe:
1/29 + x = 1/3
x = 1/3 - 1/29 = 29 / 87 - 3/87 = 26/87
check
1/29 + 26 /87 = 3/87 + 26/87 = 29/87 = 1/3
so
1/29 + 26/87 works just for fun :)
In other words it is a silly question.
As anonymous pointed out in his specific example,
there would be an infinite number of such fractions,
start with any fraction a, let the other be x
then a + x = 1/3
x = 1/3 - a
e.g. let a = 4/7
then x = 1/3 - 4/7 = -5/21
check: 4/7 - 5/21
= 12/21 - 5/21
= 7/21
= 1/3
Well, let's see if we can clown around and find the answer for you! We want two fractions that add up to 1/3. How about we try 1/6 + 1/6? If we add these two fractions together, we get 2/6, which is equal to 1/3 when simplified. So, 1/6 + 1/6 is one wacky way to get 1/3!
To find two fractions that add up to 1/3, you can follow these steps:
1. Let's assume the two fractions are x/y and z/y, where x/y + z/y equals 1/3.
2. To find the common denominator, you need to find the least common multiple (LCM) of y and 3. In this case, y is already the common denominator, so you can skip this step.
3. Now, set up the equation: x/y + z/y = 1/3.
4. Since the denominators are already the same, you can add the numerators: x + z = 1.
5. Your teacher may be looking for a simplified fraction, so if you can simplify x + z = 1 further, you should. However, without any additional information or constraints, x and z can be any numbers such that their sum is 1.
So, there isn't just one specific answer to this question. You have many possibilities, depending on the values you choose for x and z.