Answer:
It is closer to
than
, so the statement is True.
Explanation:
Step 1: Finding the decimal form of
![(8)/(11)](https://img.qammunity.org/2023/formulas/mathematics/high-school/gnhjqyne02tnxt3g19yo6asl8xisd9j9cd.png)
Upon simplification on a calculator, we can see that the exact value of
is:
![0.7272727273](https://img.qammunity.org/2023/formulas/mathematics/college/ljq5ywwhazsl5vdedzl3fa1djpqmb7o5u8.png)
Let's round this to
for an easier time.
Step 2: Identifying the value's difference from 1 and 0
We have found the value of the fraction to be
.
If we subtract the value from
, we get:
![1-0.73\\=0.27](https://img.qammunity.org/2023/formulas/mathematics/college/z7h3jfipm42hhet2el5pskdc0mnrwozs1i.png)
If we find the difference between it and
, we get:
![0.73-0\\=0.73](https://img.qammunity.org/2023/formulas/mathematics/college/2kviycx026eqpu01r0ktwayednnvn1p8np.png)
As we can see, the value is
units away from
, but is
units away from
.
We can clearly see that it is closer to
, so the statement is True.