Answer:
Explanation:
When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 1/7 is 7, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 7 = 14.285714285714
Once we have that, we can multiple both the numerator and denominator by this multiple:
1 x 14.285714285714/7 x 14.285714285714
= 14.285714285714100
Now we can see that our fraction is 14.285714285714/100, which means that 1/7 as a percentage is 14.2857%.
We can also work this out in a simpler way by first converting the fraction 1/7 to a decimal. To do that, we simply divide the numerator by the denominator:
1/7 = 0.14285714285714
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.14285714285714 x 100 = 14.2857%
And there you have it! Two different ways to convert 1/7 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.