![\bold{\huge{\purple{\underline{ Solutions }}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/x8r7c4og8yg6hzztghftakvkcvw3thkvbu.png)
Solution (a) :-
![\bold{( 7)/(6)}{\bold{ + }}{\bold{( 2)/(5)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/lmpj63yo88ojznd27to8t77wtut5y0gjph.png)
- By taking LCM of the given denominators
![\sf{ = \:}{\sf{( 35 + 12 )/(30)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/9pwrfld2ud4u11ffakba4kslu3yosni5v4.png)
![\sf{ =\: }{\sf{\red{( 47 )/(30)}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4t91jw6xd2jp0p7wms9utzz0h4rvbq6ao5.png)
Hence, The answer is 47/30
Solution ( b) :-
![\bold{( 1)/(7)}{\bold{ + }}{\bold{( 1)/(8)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/i8rc604x9qse5or2aqhxqfnew0h9k38340.png)
- By taking LCM of the given denominators
![\sf{ =\: }{\sf{( 8 + 7 )/(56)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/h6q4o7d635rffxk1pmusrktb0af01i87od.png)
![\sf{ =\: }{\sf{\red{( 15)/(56)}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/2ruifc36jv1uxdvifbcj0vvcvy3wtxqcob.png)
Hence, The answer is 15/56
Solution ( c) :-
![\bold{( 7)/(13)}{\bold{ + }}{\bold{( 5)/(10)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/fov6qlsvmotgxaxk5bz0gnu045e9hpfdjc.png)
- By taking LCM of the given denominators
![\sf{=\:}{\sf{( 70 + 65 )/(130)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/8rx0ld4w0p5y6r1wt3666ijl1t90i7ec7s.png)
![\sf{ = \:}{\sf{( 135)/(130)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/jtxjxguj0q5q5apc2md7hc00p7fpieg8dm.png)
![\sf{ =\:}{\sf{\red{( 27)/(26)}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/klbrr9j6bzthpi6j1tqrf16tzhkbte6s61.png)
Hence, The answer is 27/26
Solution ( d) :-
![\bold{( 7)/(5)}{\bold{ - }}{\bold{( 1)/(3)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/8urwoyhmmlufg906uw0e8ueqfv75la2a07.png)
- By taking LCM of the given denominators
![\sf{ =\:}{\sf{( 21 - 5 )/(15)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/6mt9og0mbavqa3286qy85a9xhjdqk6qqyc.png)
![\sf{ = \:}{\sf{\red{( 16)/(15)}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/h0bwondobtzl8p34z31m80r74nseo4jwsl.png)
Hence, The answer is 16/15
Solution ( e) :-
![\bold{( 8)/(7)}{\bold{ - }}{\bold{( 9)/(11)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4y1rbll44v1yijaw7vwq51b6m2u011757d.png)
- By taking LCM of the given denominators
![\sf{=\:}{\sf{( 88 - 63)/(77)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/m5kgjw06tylzee6tz9sckat6os2alwvg2r.png)
![\sf{=\:}{\sf{\red{( 25)/(77)}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/kzwbtxlb296lotcmzxcrzz0su9gbx72wye.png)
Hence, The answer is 25/77
Solution ( f) :-
![\bold{( 11)/(4)}{\bold{ - }}{\bold{( 1)/(9)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/b02q5431zoxy5s4t14hyhs99m1e7kmb8ic.png)
- By taking LCM of the given denominators
![\sf{=\:}{\sf{( 99 - 4)/(36)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/1atwjvp8cwloik1kjlvxkldvnps6cd2ymg.png)
![\sf{ =\: }{\sf{\red{( 95)/(36)}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/vtvalzq1a6r2n70lptthh3dn2mv0ibk95h.png)
Hence, The answer is 95/36