Hey there :)
[tex]-7 \frac{2}{3} = - \frac{23}{3} [/tex]
[tex]-5 \frac{1}{2} = -\frac{11}{2} [/tex]
[tex]8 \frac{3}{4} = \frac{35}{4}[/tex]
[tex]- \frac{23}{3} - \frac{11}{2} + \frac{35}{4} [/tex]
We need to change all fractions to have a common denominator
Lets see:
Multiples of 2: 2 , 4 , 6 , 8 , 10 , 12
Multiplies of 3: 3 , 6 , 9 , 12
Multiplies of 4: 4 , 8, 12
The common denominator is 12
2 x 6 = 12
3 x 4 = 12
4 x 3 = 12
= [tex] -\frac{23(4)}{3(4)} - \frac{11(6)}{2(6)} + \frac{35(3)}{4(3)} [/tex]
= [tex]- \frac{92}{12} - \frac{66}{12} + \frac{105}{12} [/tex]
We need to add the numerators while keeping the same denominator
= [tex]- \frac{53}{12} [/tex]
= [tex]-4 \frac{5}{12} [/tex]
