Benchmark Fractions

Consider the benchmarks

1 2

and 1.

 

Out of these two numbers, let's find which benchmark is between

4 6

and

8 6

.

 

First check the benchmark

1 2

.

 

We can represent the fractions

4 6

,

1 2

,

and

8 6

as follows:

 

 

Now let’s compare the shaded areas.

Here, we can notice that

1 2

is less than

4 6

and

8 6

.

 

So,

1 2

is not between

4 6

and

8 6

.

Now, check the benchmark 1.

 

We can represent the fractions

4 6

, 1 and

8 6

as follows:

 

Now let’s compare the shaded areas.

Here, we can notice that 1 is greater than

4 6

and less than

8 6

.

So,

1

is between

4 6

and

8 6

.