Question

Determine 'y' so that $y-2\frac{1}{3}=(-3\frac{7}{12})$.

• A. $-1\frac{1}{4}$
• B. $1\frac{1}{12}$
• C. $1\frac{1}{4}$
• D. $-1\frac{1}{12}$

Answer 1

The correct option is A $-1\frac{1}{4}$

$y-2\frac{1}{3}=(-3\frac{7}{12})$
$\Rightarrow y=2\frac{1}{3}-\left(3\frac{7}{12}\right)$
$\Rightarrow y=\frac{7}{3}-\frac{43}{12}$_______(converting mixed fraction to improper fraction)
$\Rightarrow y=\frac{28}{12}-\frac{43}{12}$_______(taking LCM)
$\Rightarrow y=\frac{(28-43)}{12}$
$\Rightarrow y=\frac{-15}{12}$
$\Rightarrow y=-1\frac{1}{4}$