Final Answer:
The fraction equivalent of 1 5/7 pounds to 1 2/7 pounds is 12/7 to 9/7.
Step-by-step explanation:
Converting mixed numbers to improper fractions, 1 5/7 becomes (7 * 1) + 5 = 12/7 pounds, and 1 2/7 becomes (7 * 1) + 2 = 9/7 pounds.
The initial step involves transforming the mixed numbers into improper fractions. For 1 5/7 pounds, the calculation (7 * 1) + 5 results in 12/7 pounds. Similarly, for 1 2/7 pounds, the computation (7 * 1) + 2 yields 9/7 pounds.
Next, to determine the fraction relationship between these weights, compare the resulting improper fractions: 12/7 pounds and 9/7 pounds.
To express the ratio between these weights, create a fraction with the values obtained. The fraction becomes 12/7 to 9/7, indicating the ratio of weights from 1 5/7 pounds to 1 2/7 pounds.
This conversion illustrates that 1 5/7 pounds is equivalent to 12/7 pounds and 1 2/7 pounds is equivalent to 9/7 pounds, represented as the ratio 12/7 to 9/7.
In conclusion, the equivalent fraction for the given weight comparison is 12/7 to 9/7, depicting the relationship between 1 5/7 pounds and 1 2/7 pounds.