3/8 vs 4/6
Which is bigger — three eighths or four sixths? Let's use benchmarks to find out.
Our benchmarks are zero, one-half, and one. Every fraction lives somewhere on this line.
First, three eighths. Half of eight is four — so four eighths is one-half.
Three is less than four, so three eighths is less than one-half.
We drop three eighths to the left of one-half.
Now four sixths. Half of six is three — so three sixths is one-half.
Four is greater than three, so four sixths is greater than one-half.
We drop four sixths to the right of one-half.
Three eighths is below one-half and four sixths is above. Four sixths is bigger!