Answer:
Shane started the problem correctly
Step-by-step 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
[tex]-5-(-1\frac{3}{4})\\=-5-(-1-\frac{3}{4} )\\=-5-(-\frac{7}{4})[/tex]
Now we will solve bracket by multiplying -1 with term inside the bracket i.e
[tex]=-5+\frac{7}{4}[/tex]
[tex]= \frac{-13}{4}[/tex]
Let's compare both the procedures now:
Mariah:
[tex](-5) + 1 - \frac{3}{4}[/tex]
[tex]=(-5) - \frac{1}{4}[/tex]
[tex]=\frac{-21}{4}[/tex]
Therefore, Mariah did not start the problem correctly.
Shane:
[tex](-5) + 1 + \frac{3}{4}[/tex]
[tex]= -5 + \frac{7}{4}[/tex]
[tex]= \frac{-13}{4}[/tex]
Therefore, Shane started the problem correctly.
