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Benchmark Fractions

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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:

 

16

 

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:  

 

16


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
.