Question

By what rational number should be divided 22/7 so as to get the number -11/14 ?

Answer 1

Question :–

By what rational number should be divided 22/7 so as to get the number -11/14 ?

Answer :–

$4$

Solution :–

Let the number be $x$

According to the question :–

We have,

$\frac{( \frac{22}{7} )}{x} = \frac{ - 11}{14}$

$\frac{22}{7x} = \frac{ - 11}{14}$

By Cross Multiplication :-

$\implies {22 \times 14} = - 11 \times 7x$

$\implies 308 = 77x$

$\implies \frac{\cancel{308}}{\cancel{77}} = x$

$\implies 4 = x$

$\huge \boxed{x = 4}$