Question

what should be a subtract from -2/3 to get 5/12
​

Answer 1

$x = - 1\frac{1}{12}$

Answer 2

Answer :-

• -13/12 should be subtracted from -2/3 to get 5/12.

To find :-

• The number which should be subtracted from -2/3 to get 5/12.

Solution :-

$:\longrightarrow \tt\dfrac{ - 2}{ \: \: \: 3} - x = \dfrac{5}{12}$

$:\longrightarrow\tt\dfrac{ - 2}{ \: \: \: 3} = \dfrac{5}{12} + x$

$:\longrightarrow\tt \dfrac{ - 2}{ \: \: \: 3} - \dfrac{5}{12} = x$

$:\longrightarrow\tt\dfrac{( - 2 \times 4 )-( 5 \times 1)}{12} = x$

$:\longrightarrow\tt\dfrac{ - 8 - 5}{12} = x$

$:\longrightarrow \tt\dfrac{ - 13}{ \: \: \: 12} = x$

-----------------------------------------------------------

V E R I F I C A T I O N

• To check our answer, let's subtract -13/12 from -2/3 and see whether we get 5/12.

$\hookrightarrow\bf \dfrac{ - 2}{ \: \: \: 3} - \dfrac{ - 13}{ \: \: \: 12}$

$\hookrightarrow\bf \dfrac{ (- 2 \times 4) - ( - 13 \times 1)}{12}$

$\hookrightarrow \bf\dfrac{ - 8 + 13}{12}$

$\hookrightarrow\bf \dfrac{5}{12}$

We get 5/12 on subtracting -13/12 from -2/3.

Hence verified!!

________________________________