To solve for g, we can first convert the mixed number 2 5/7 into an improper fraction.
2 5/7 = (2 * 7 + 5)/7 = 19/7
Now we can substitute this into the equation:
(19/7) * g = 1
To isolate g, we need to divide both sides of the equation by 19/7, which is equivalent to multiplying by the reciprocal of 19/7.
g = 1 / (19/7)
To divide by a fraction, we can multiply by its reciprocal:
g = 1 * (7/19)
Multiplying straight across, we have:
g = 7/19
Therefore, g is equal to 7/19.
