To find a rational number equivalent to 5/7, we can simply multiply both the numerator and the denominator of the fraction by the same non-zero integer. This process will create an equivalent fraction because it maintains the same ratio.
For example, if we multiply both the numerator (5) and the denominator (7) by 2, we get:
- New numerator: 5 x 2 = 10
- New denominator: 7 x 2 = 14
Thus, 10/14 is an equivalent rational number to 5/7.
We can choose different integers to multiply by, resulting in numerous equivalent fractions. For example:
- Multiplying by 3 gives us: 15/21
- Multiplying by 4 gives us: 20/28
As you can see, 10/14, 15/21, and 20/28 are all rational numbers equivalent to 5/7. The key takeaway is that you can create an infinite number of equivalent rational numbers by multiplying the numerator and denominator by any non-zero integer.