Question

by what number should 13/11 be multiplied to get -26/33​

Answer 1

Step-by-step explanation:

(13/11)(x/y)= -(26/33)

This will give your answer -2/3

Answer 2

Answer :-

• The required number is -2/3.

To find :-

• The number by which 13/11 should be multiplied to get -26/33.

Solution :-

Let the required number be "x".

It has been given that :-

• When 13/11 is multiplied with "x", the result is -26/33.

Therefore,

$\longmapsto\sf\dfrac{13}{11} \times x = \dfrac{ - 26}{ \: \: \: 33}$

Transposing 13/11 from LHS to RHS, changing it's sign,

$\longmapsto \sf x = \dfrac{ - 26}{ \: \: \: \: 33} \div \dfrac{13}{11}$

The reciprocal of 13/11 is 11/13, so let's multiply -26/33 with 11/13.

$\longmapsto \sf x = \dfrac{\cancel{- 26}}{\cancel{\: \: \: 33}} \times \dfrac{\cancel{11}}{\cancel{13}}$

Reducing the numbers,

$\longmapsto\sf x = \dfrac{ - 2}{ \: \: \: 3} \times \dfrac{1}{1}$

Multiplying the numbers,

$\underline{\boxed{\longmapsto \sf x = \dfrac{ - 2}{ \: \: \: 3}}}$

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• Hence, the required number is -2/3.