Question :-
![\sf12 (1)/(2) - ( - 4 (1)/(2) ) = \boxed{ ? }](https://img.qammunity.org/2022/formulas/mathematics/high-school/iu2gxrg00hllq9ee1k1nephef29qahbqx9.png)
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Solution :-
Given Information :-
- Fraction 1 ➢
![\sf12 (1)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/s5ofwlbzdwlvva67iagug185zlh0had17l.png)
- Fraction 2 ➢
![\sf -4 (1)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/xbqzrixlcmrrbfk25stcdaijgt91y7umrm.png)
- Operation ➢ Subtraction
To Find :-
- The difference between two fractions
Calculation :-
![\sf: \implies \sf12 (1)/(2) - ( - 4 (1)/(2) ) = \boxed{ ? }](https://img.qammunity.org/2022/formulas/mathematics/high-school/zx4lf5znvxm50rqjfw3l7saswm9yuq9ltb.png)
Firstly, converting mixed fractions to improper fractions, We get,
![\sf: \implies (25)/(2) - ( - (9)/(2) ) = \boxed?](https://img.qammunity.org/2022/formulas/mathematics/high-school/mey15ngpkd22u46ifx7rrear0uhysichpy.png)
Now, solving the parentheses, We get,
![\sf: \implies (25)/(2) + (9)/(2) = \boxed ?](https://img.qammunity.org/2022/formulas/mathematics/high-school/cy7tfv7kmz6gyegxkybcuyikf4zmu2l1bu.png)
Since, We have like terms, We will directly add up the two fractions, We get,
![\sf: \implies (25 + 9)/(2) = \boxed?](https://img.qammunity.org/2022/formulas/mathematics/high-school/7w99xd5flpw87y615vlmv7qim0o5j5clx4.png)
Calculating further, We get,
![\sf: \implies (34)/(2) = \boxed?](https://img.qammunity.org/2022/formulas/mathematics/high-school/ybonytau4yj9ns4q42ryp8np97qjudw88n.png)
Bringing the fraction to it's lowest terms, We get,
![\sf: \implies \frac{ \cancel{34} \: \: \tiny{7}}{ \cancel2} = \boxed7](https://img.qammunity.org/2022/formulas/mathematics/high-school/tlv0mys2hnk6r6je1gzubb11adxe0f7l7n.png)
![\sf :\implies \sf12 (1)/(2) - ( - 4 (1)/(2) ) = \red{ \boxed{ \bf7 }}](https://img.qammunity.org/2022/formulas/mathematics/high-school/wh4590uv99exntxikrydlxbfn5vknhziiu.png)
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Final Answer :-
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