give an example of two fractions whose sum can be simplified to 1/2.
1/8 + 3/8 = 4/8 = 1/2
To find an example of two fractions whose sum can be simplified to 1/2, we need to find two fractions with a numerator and a denominator that add up to the same value.
Let's say we have Fraction A, which has a numerator of 1, and Fraction B, which has a denominator of 2. If we add these fractions together, we get (1/1) + (1/2).
To simplify the sum, we need to find a common denominator. The least common multiple (LCM) of 1 and 2 is 2, so we can rewrite the fractions with this common denominator:
(1/1) = (2/2) and (1/2) = (1/2).
Now, we can add the fractions together:
(2/2) + (1/2) = 3/2.
To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor (GCD), which in this case is 1:
(3/2) รท 1 = (3/2) = 1 1/2.
So, the sum of the fractions (1/1) and (1/2) can be simplified to 1 1/2, which is not equal to 1/2.
Therefore, we need to find different fractions. Let's take Fraction A with a numerator of 1 and a denominator of 3, and Fraction B with a numerator of -1 and a denominator of 6.
Now, let's add these fractions together:
(1/3) + (-1/6).
To simplify this sum, we need to find a common denominator, which is the LCM of 3 and 6, equal to 6. We can rewrite the fractions with this common denominator:
(1/3) = (2/6) and (-1/6).
Now, we can add the fractions together:
(2/6) + (-1/6) = (1/6).
The sum (1/3) + (-1/6) simplifies to 1/6, which is equal to 1/2.
Therefore, an example of two fractions whose sum can be simplified to 1/2 is (1/3) + (-1/6).