Hey there!
Question :-
![310 + ( -720)](https://img.qammunity.org/2022/formulas/mathematics/high-school/9zngs0t3nn5aspy0y1gm3sb32kmtwz1c3e.png)
We need to solve this arithmetic expression,as a fraction.
Solution:-
![\sf \longmapsto310 \: + ( - 720)](https://img.qammunity.org/2022/formulas/mathematics/high-school/yvwq1pdkoz7o3mkfal4mkpiuikubffk1sw.png)
Note that (+) and (-) equals to (-).
New Arithmetic expression will be :-
![\sf \longmapsto310 + (720)](https://img.qammunity.org/2022/formulas/mathematics/high-school/2464oc8fj7u6rx9091csvym5pbeytzhbks.png)
Remove the parenthesis :-
![\sf \longmapsto310 - 720](https://img.qammunity.org/2022/formulas/mathematics/high-school/ygcs9qxxilw0ogxe91z57egfrw19yimqfg.png)
Calculating the Subtraction:-
![\sf \longmapsto310 - 720](https://img.qammunity.org/2022/formulas/mathematics/high-school/ygcs9qxxilw0ogxe91z57egfrw19yimqfg.png)
As 310 < 720, 720 contains (-) sign. Therefore, The Solution will be -410 not 410.
![\sf \longmapsto - 410](https://img.qammunity.org/2022/formulas/mathematics/high-school/jti2ypb08kn7xb59k39rn2upclod0c3bt9.png)
Converting to Fraction:-
![\sf \longmapsto \: - 410](https://img.qammunity.org/2022/formulas/mathematics/high-school/mpz542o35q7f3ivp3pnbk9n5k5v5woisk8.png)
![\sf \longmapsto \: (410 * 1)/(1 * 1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/8zrxc66jfqlimgday6hpgmrbk8os6y04s8.png)
![\sf \longmapsto - (410)/(1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/f98lpcmlsf3m2r8miiafx6kwzr0dztdlcz.png)
On Simplification of this Fraction:-
![\sf \longmapsto \cancel ( - 410)/(1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/qmmavobnjlaatpos4ck0gr5sfohukquwz7.png)
On Cancelling , -410 Is the result.
![\sf \longmapsto - {410}](https://img.qammunity.org/2022/formulas/mathematics/high-school/nymykrctu2y77dds7p1p1b9mvjn2hfdogg.png)
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Henceforth , the answer of the arithmetic expression Will be :-(Simplified)
![\boxed{\bf-{410} }](https://img.qammunity.org/2022/formulas/mathematics/high-school/jrhisup7kkdr7r32bx7z92l9qtuo16iamq.png)
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I hope this helps!
Please let me know if you have any questions.
~MisterBrian