Question

By which number we should multiply -15/20 so that the product may be -5/7? I want answer with equation please​

Answer 1

hope this answer help you

Answer 2

Answer -

• We should multiply -15/20 with 20/21 so that the product may be -5/7.

To find -

• The number by which we should multiply -15/20 so that the product may be -5/7.

Step-by-step explanation -

Let the number be "y".

Then -

• The product of -15/20 and "y" will be -5/7.

Therefore -

$\longmapsto \: \rm \dfrac{ - 15}{ \: \: \: 20} \times y = \dfrac{ - 5}{ \: \: 7}$

$\longmapsto \rm \: y = \dfrac{ - 5}{ \: \: 7} \div \dfrac{ - 15}{ \: \: \: 20}$

$\longmapsto \rm \: y = \dfrac{ - 5}{ \: \: \: 7} \times \dfrac{ \: \: \: \: 20}{ - 15}$

$\longmapsto \rm \: y = \cancel{\dfrac{ - 100}{ - 105}}$

$\longmapsto \rm \: y = \dfrac{20}{21}$

Hence -

• The required number is 20/21.

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

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

• To check our answer, let's multiply -15/20 with 20/21 and see whether we get -5/7.

$\bf \dashrightarrow \: \dfrac{ - 15}{ \: \: \: 20} \times \dfrac{20}{21}$

$\dashrightarrow \bf \: \cancel{\dfrac{ - 300}{ \: \: \: 420}}$

$\dashrightarrow \bf \: \dfrac{ - 5}{ \: \: 7}$

We get -5/7 on multiplying -15/20 with 20/21.

Hence verified!!

________________________________