Question

by what rationale number should-8/39 be multiplied to optain 1/26​

Answer 1

Answer:

Given that By what rational number should -8/39 be multiplied to obtain 1/26. Let the number be x. Therefore the rational number is -3/16

Answer 2

☯GIVEN :

• By what rational number should $\bf {\dfrac {-8} {39}}$ be multiplied to obtain $\bf {\dfrac {1} {26}}$.

☯TO FIND :

• Required Number .

➲SOLUTION :

Let the required number be x.

✞According to the question :

$\implies \sf{ \dfrac{ - 8}{39} \times x = \dfrac{1}{26} }$

$\implies \sf{ \dfrac{ - 8x}{39} = \dfrac{1}{26} }$

• By cross multiplication :

$\implies \sf{ - 8x \times 26 = 39 \times 1}$

$\implies \sf{ - 208x = 39 }$

• Dividing both sides by -208 :

$\implies \sf{x =\dfrac{ 39}{-208}}$

• Dividing both numerator and denominator by 13 :

$\implies \sf{ x = \dfrac{ \cancel{39}}{ \cancel {- 208}} }$

$\implies{ \underline{\boxed{ \pink{ \bf{ x = \dfrac{ - 3}{16} }}}}}$

$\huge {\green {\therefore }}$ Required number = $\bf{ \dfrac{ - 3}{16}}$.