Final answer:
To find an equivalent fraction to 1/7, you can multiply the numerator and denominator by the same non-zero whole number. For instance, multiplying by 2 gives 2/14, and by 3 gives 3/21, all of which are equivalent to 1/7.
Step-by-step explanation:
To find an equivalent fraction to 1/7 using the least common denominator, we need to multiply the numerator and the denominator by the same number.
Since 1/7 is already in its simplest form, any multiple of both the numerator (1) and the denominator (7) will give us an equivalent fraction.
For example, if we choose the number 2, we get 2/14, which is an equivalent fraction to 1/7. Similarly, multiplying by 3, we get 3/21, which is also equivalent to 1/7.
In general, if you multiply the numerator and the denominator of 1/7 by any non-zero whole number 'n', you will get an equivalent fraction. Therefore, n/7n is always equivalent to 1/7 for any integer 'n'.