Answer:
a.
![(9)/(11)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mmv4hlrtf1qbdknnwvxo8t8z02qvxdutzl.png)
b.
![(</strong><strong>8</strong><strong>)/(41)](https://img.qammunity.org/2021/formulas/mathematics/college/m2kfp24ce994dl7vb7hfurrvv3dhdg4gwv.png)
Explanation:
a.
![(11)/(9)](https://img.qammunity.org/2021/formulas/mathematics/college/jc8kw6bpl59wpdhmof8hzwi6pc1l1d6ae1.png)
Just flip the fraction, you will get:
![(9)/(11)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mmv4hlrtf1qbdknnwvxo8t8z02qvxdutzl.png)
b.
![5 (1)/(8)](https://img.qammunity.org/2021/formulas/mathematics/college/xtw4xkt8uf0wx659lf73d8ylffu7meaw3w.png)
The first thing you have to do is that convert the mixed fraction into improper fraction.
To convert mixed fraction into improper fraction, you have to rewrite the denominator which is 8 , Thenafter you have to multiply 5 and 8 and then add 1
It would be:
![(5 * 8 + 1)/(</strong><strong>8</strong><strong>)](https://img.qammunity.org/2021/formulas/mathematics/college/doz8gqx7ol211uvvtojzrww3f6a9atmqo3.png)
![= (40 + 1)/(</strong><strong>8</strong><strong>)](https://img.qammunity.org/2021/formulas/mathematics/college/p1tjm7e6du4iekmc6vyoecbqd6zxp3j6o5.png)
![= (41)/(</strong><strong>8</strong><strong>)](https://img.qammunity.org/2021/formulas/mathematics/college/idkywbpyyssm8kk0i5tyn19h11sz1jmobc.png)
Now , you have to flip it in order to get reciprocal:
![= (</strong><strong>8</strong><strong>)/(41)](https://img.qammunity.org/2021/formulas/mathematics/college/brg2j9u51gjgflgty0e9z4moxpfgix42fo.png)