Question

what should be subtracted from 4/7 to get 3/4​

Answer 1

ANSWER = -5 / 28

let the number be x

4/7 - x = 3/4

x = 4/7 -3/4

= 16 - 21 / 28

= -5 /28

Answer 2

Answer :-

• -5/28 should be subtracted from 4/7 to get 3/4.

To find :-

• The number which should be subtracted from 4/7 to get 3/4.

Solution :-

• Let the required number be "x".

It has been given that :-

• When "x" is subtracted from 4/7, the result is 3/4.

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Therefore,

$\longmapsto \sf\dfrac{4}{7} - x = \dfrac{3}{4}$

$\longmapsto\sf\dfrac{4}{7} = \dfrac{3}{4} + x$

$\longmapsto\sf \dfrac{4}{7} - \dfrac{3}{4} = x$

$\longmapsto\sf\dfrac{4 \times 4 - 3 \times 7}{28} = x$

$\longmapsto\sf \dfrac{16 - 21}{28} = x$

$\longmapsto \underline{\boxed{ \sf \dfrac{ - 5}{ \: 28} = x}}$

• Hence, the required number is -5/28.

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

• To check our answer, lets subtract -5/28 from 4/7 and see whether we get 3/4.

$\longmapsto \sf \dfrac{4}{7} - \dfrac{ - 5}{ \: 28}$

$\sf\longmapsto \dfrac{4 \times 4 - ( - 5) \times 1}{28}$

$\longmapsto \sf \dfrac{16 - ( - 5)}{28}$

$\sf \longmapsto \dfrac{21}{28}$

$\longmapsto \sf \dfrac{3}{4}$

• We get 3/4 on subtracting -5/28 from 4/7.

Hence verified!