Answer:
Shane started the problem correctly
Explanation:
We are given problem (-5) - (-1 3/4).
Mariah started the problem as (-5) + 1 - 3/4
Shane started the problem as (-5) + 1 + 3/4
We need to find who started the problem correctly.
The problem should be started by converting the mixed fraction into improper fraction i,e
![-5-(-1(3)/(4))\\=-5-(-1-(3)/(4) )\\=-5-(-(7)/(4))](https://img.qammunity.org/2021/formulas/mathematics/high-school/t4jzo2v65fccw5foyz8jqk1hyxoair4mc3.png)
Now we will solve bracket by multiplying -1 with term inside the bracket i.e
![=-5+(7)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/6npbmrbsy0uh234sqhwqei0qnjgwej3i21.png)
![= (-13)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/b6iywjgmh2h9gpsj8xcwp88pxn1n17fmho.png)
Let's compare both the procedures now:
Mariah:
![(-5) + 1 - (3)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/jb67vh8btenbxj5hxyxhesgkwor5r4oye9.png)
![=(-5) - (1)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/jyqd7ad6tiscknyqpeqfgmajmhb5q1jzpt.png)
![=(-21)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/mnz9tetetzn9g4j14nc7sex2vuq8qmixvc.png)
Therefore, Mariah did not start the problem correctly.
Shane:
![(-5) + 1 + (3)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/s1ozxbjl68134pfzhzyou1xiwxdoatmtoa.png)
![= -5 + (7)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/lmki5aqle60anuc929dvyou36bq31jhd4x.png)
![= (-13)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/b6iywjgmh2h9gpsj8xcwp88pxn1n17fmho.png)
Therefore, Shane started the problem correctly.