Answer:
No, the correct answer of [tex]-1\frac{3}{4} + 1\frac{1}{6}[/tex] = [tex]\frac{11}{12}[/tex]
Step-by-step explanation:
The given expression is [tex]-1\frac{3}{4} + 1\frac{1}{6}[/tex]
As we know that a mixed fraction[tex]a\frac{b}{c}[/tex] can be converted into proper or improper fraction as [tex]a\frac{b}{c} = \frac{ac + b}{c}[/tex]
⇒ [tex]-1\frac{3}{4} = \frac{(-1) (4)+ 3}{c}[/tex] = [tex]\frac{-4 + 3}{4} = \frac{-1}{4}[/tex]
and, [tex]1\frac{1}{6} = \frac{(1) (6)+ 1}{6}[/tex] = [tex]\frac{6 + 1}{6} = \frac{7}{6}[/tex]
Hence, the simplified expression = [tex]\frac{-1}{4} + \frac{7}{6} = \frac{-1(3) + 7(2)}{12} = \frac{11}{12}[/tex]
or, [tex]-1\frac{3}{4} + 1\frac{1}{6}[/tex] = [tex]\frac{11}{12}[/tex]
