Hello there!
"Compare the fraction 3/5 to 1/2 and then compare 2/6 to 1/2. Use symbols in your answer"
To make this easier, we will make it so that both fractions in each pair has like bases.
To make 3/5 and 1/2 have a like base, we must make the denominators 10. To do this, we will do the following:
(3*2)/(5*2) = 6/10
(1*5)/(2*5) = 5/10
Now we can easily compare and not worry about the denominator
So, let's just look at the numerators.
Which is greater, 5 or 6? We know 6 is greater, so:
6/10 > 5/10
That means:
3/5 > 1/2
Now, we must do the same for 2/6 and 1/2
We will make them both 6. So, we can leave 2/6 alone
2/6
(1*3)/(2*3) = 3/6
Now we have 2/6 and 3/6
Which is greater, 3 or 2. The answer to that is 2. So:
3/6 > 2/6
This means that 1/2 > 2/6
Our answers are:
1. 3/6 > 2/6
2. 1/2 > 2/6
I hope I was able to help you!
~ Fire
