Answer:
a.
![(2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/54kd5otoayi7fslqp2ejx77tdkhh8ubevy.png)
Explanation:
The fraction,
is greater than
and less than
.
How do we know this? See below how the fractions are compared together.
First, compare
and
.
Find a common denominator for both fractions:
Common denominator of 2 and 3 would be 6. Therefore, multiply as follows:
and
.
Compare the numerators. Which one is greater?
Form the calculation above:
has a numerator of 4.
.
has a numerator of 3.
Since 4 is greater than 3, therefore, the fraction,
is greater than
.
✍️Compare
and
.
Find a common denominator for both fractions
and
![(3 * 3)/(4 * 3) = (9)/(12)](https://img.qammunity.org/2021/formulas/mathematics/college/7rfpzh7qn4mjyq7ru15yqa0wxotd1vyftz.png)
Comparing their numerator, 8 is less than 9, therefore:
is less than
.
✔️We can conclude that:
is greater than
, and less than
.