Question

what no. should be added to -3/5 to get -1/2 answer fast please​

Answer 1

Answer :-

• 1/10 should be added to -3/5 to get -1/2.

To find :-

• The number which when added to -3/5 gives -1/2.

Solution :-

Let the required number be "x".

• One of the numbers is -3/5.

It is given that :-

• When "x" is added to -3/5, we get -1/2.

Therefore,

$\longmapsto\tt\dfrac{ - 3}{ \: \: \: 5} + x = \dfrac{ - 1}{ \: \: \: 2}$

Transposing -3/5 from LHS to RHS, changing it's sign,

$\longmapsto\tt x = \dfrac{ - 1}{ \: \: \: 2} - \dfrac{ - 3}{ \: \: \: 5}$

Taking the LCM of 2 and 5,

$\longmapsto\tt x = \dfrac{( - 1 \times 5) - (- 3 \times 2)}{10}$

$\longmapsto\tt x = \dfrac{ - 5 + 6}{ \: \: 10}$

$\longmapsto\tt x = \dfrac{1}{10}$

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Verification :-

• To check our answer, let's add 1/10 to -3/5 and see whether we get -1/2.

$\longmapsto \bf\dfrac{ - 3}{ \: \: \: 5} + \dfrac{1}{10}$

Taking the LCM of 5 and 10,

$\longmapsto\bf\dfrac{ (- 3 \times 2) + (1 \times 1)}{10}$

$\longmapsto \bf\dfrac{ - 6 + 1}{10}$

$\longmapsto\bf \dfrac{ - 5}{ \: 10}$

Reducing the fraction to it's simplest form,

$\longmapsto\bf\dfrac{ - 1}{ \: \: \: 2}$

We get :-

• -1/2 on adding 1/10 to -3/5.

Hence verified!

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