To solve this problem, we are going to set up a proportion, that sets two fractions equal to one another. Let x represent the numerator of the fraction with denominator 42.
6/7 = x/42
We can tell from this proportion that the two denominators are 7 and 42. We know that 7 * 6 = 42, therefore the second fraction is 6 times greater than the first fraction.
Knowing this, we have to multiply the numerator of the first fraction (6) by how many times bigger the second fraction is (6) to figure out what the numerator of the second denominator is (x).
6 * 6 = x
x = 36
Therefore, 6/7 written as a fraction with denominator of 42 is 36/42.