Question

Simplify?
$2 \frac{1}{4} - ( \frac{1}{2} - 3 \frac{1}{4} )$
options
$5 \frac{1}{4}$
$5 \times \frac{1}{2}$
$4$
$5$



​

Answer 1

$\large\textsf{ }$

$\LARGE\textsf{\underline\textcolor{aqua}{↭ SoLuTioN :-}}$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{ 2\cfrac{\large\textsf{1}}{\large\textsf{4}} - \left(\cfrac{\large\textsf{1}}{\large\textsf{2}} - 3\cfrac{\large\textsf{1}}{\large\textsf{4}}\right) }$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{ \cfrac{\large\textsf{2 × 4 + 1}}{\large\textsf{4}} - \left(\cfrac{\large\textsf{1}}{\large\textsf{2}} - \cfrac{\large\textsf{4 × 3 + 1}}{\large\textsf{4}}\right) }$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{ \cfrac{\large\textsf{9}}{\large\textsf{4}} - \left(\cfrac{\large\textsf{1}}{\large\textsf{2}} - \cfrac{\large\textsf{13}}{\large\textsf{4}}\right) }$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{ \cfrac{\large\textsf{9}}{\large\textsf{4}} - \left(\cfrac{\large\textsf{1 × 4}}{\large\textsf{2 × 4}} - \cfrac{\large\textsf{13 × 2}}{\large\textsf{4 × 2}}\right) }$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{ \cfrac{\large\textsf{9}}{\large\textsf{4}} - \left(\cfrac{\large\textsf{4}}{\large\textsf{8}} - \cfrac{\large\textsf{26}}{\large\textsf{8}}\right) }$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{ \cfrac{\large\textsf{9}}{\large\textsf{4}} - \left(\cfrac{\large\textsf{4 - 26}}{\large\textsf{8}}\right) }$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{ \cfrac{\large\textsf{9}}{\large\textsf{4}} - \left(\cfrac{\large\textsf{- 22}}{\large\textsf{8}}\right) }$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{ \cfrac{\large\textsf{9}}{\large\textsf{4}} - \left(\cfrac{\large\textsf{- 11}}{\large\textsf{4}}\right) }$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{ \cfrac{\large\textsf{9}}{\large\textsf{4}} + \cfrac{\large\textsf{11}}{\large\textsf{4}} }$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{ \cfrac{\large\textsf{9 + 11}}{\large\textsf{4}} }$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{ \cfrac{\large\textsf{20}}{\large\textsf{4}} }$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{5}}$

$\large\textsf{ }$