Three different pairs of fractions with the same product
Please see the Similar Questions below.
To find three different pairs of fractions with the same product, we can start by choosing two initial fractions and then modifying them to create additional pairs.
Let's start with two initial fractions, such as 1/2 and 2/3.
Pair 1:
1/2 x 2/3 = 2/6 = 1/3
Pair 2:
Now, we can modify one of the initial fractions, 1/2, by multiplying both the numerator and denominator by the same number. For example, let's multiply by 2:
(1/2) x (2/2) = 2/4 = 1/2
So, the second pair is 1/2 and 2/3.
Pair 3:
Next, let's modify the other initial fraction, 2/3, by multiplying both the numerator and denominator by the same number. Let's multiply by 3:
(2/3) x (3/3) = 6/9 = 2/3
So, the third pair is 1/2 and 2/3.
Therefore, the three different pairs of fractions with the same product are:
1. 1/2 and 2/3
2. 1/2 and 2/3
3. 1/2 and 2/3
These pairs have different numerators and denominators, but their products are all equal to 1/3.