Question

What should be subtracted from11/12 so that we obtain
-3/4​

Answer 1

11/12 - x = -3/4
11/12 = -3/4 + x
11/12 + 3/4 = x
11/12 + 9/12 = x
20/12 = x
5/4 = x ( written in simplest form )

Answer 2

Answer :-

• The required number is 5/3.

To find :-

• The number which should be subtracted from 11/12 so that we obtain -3/4.

Solution :-

• Let the required number be "x".

It is given that :-

• When "x" is subtracted from 11/12, we obtain -3/4.

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Therefore,

$\longmapsto \tt \dfrac{11}{12} - x = \dfrac{ - 3}{ \: \: \: 4}$

$\longmapsto\tt \dfrac{11}{12} = \dfrac{ - 3}{ \: \: \: 4} + x$

$\longmapsto \tt\dfrac{11}{12} - \dfrac{ - 3}{ \: \: \: 4} = x$

$\longmapsto\tt \dfrac{(11 \times1) - (- 3 \times 3) }{12} = x$

$\longmapsto\tt\dfrac{11 + 9}{12} = x$

$\tt\longmapsto \dfrac{20}{12} = x$

Reducing the fraction to it's simplest form,

$\longmapsto\tt\dfrac{5}{3} = x$

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

• To check our answer, let's subtract 5/3 from 11/12 and see whether we get -3/4.

$\implies \bf \dfrac{11}{12} - \dfrac{5}{3}$

$\implies \bf\dfrac{11 \times 1 - 5 \times 4}{12}$

$\implies\bf \dfrac{11 - 20}{12}$

$\implies \bf \dfrac{ - 9}{12}$

Reducing the fraction to it's simplest form,

$\implies\bf \dfrac{ - 3}{ \: \: \: 4}$

We get -3/4 on subtracting 5/3 from 11/12.

Hence verified!

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