Question

By what rational number must one by 26 be divided to get minus 8 by 39

Answer 1

Given :

Number 26

To be found a number when divided by 26 to get the result $\frac{8}{39}$

Solution,

Let the number be 'q'

Now,

According to the question,

$\implies \bf q\ \div \: 26 = \dfrac{8}{39} \\ \\ \\ \implies \bf q = \dfrac{8}{39} \times 26 \\ \\ \\ \big[Taking\ 26\ to\ RHS \big] \\ \\ \\ \implies \bf q = \dfrac{208}{39}$

Hence

The required rational number is $\red{\boxed{\dfrac{208}{39}}}$

Check:

$\bf \dfrac{208}{39} \div 26 \\ \\ \\ = \dfrac{208}{39} \times \dfrac{1}{26} \\ \\ \\ = \dfrac{8}{39 }\ \ \ (\sf As\ 208 \div 26 = 8)$

Hence

Checked

Answer 2

x/26 = 8/39

=> x = 8/39 * 26

=> x = 208/39

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