Question

Express -8/11 as a rational with Number with.
(a) Numerator = 32
(b)Denominator =-66​

Answer 1

Answer:

The rational number is the numerator integer upon the denominator. Only integer number should be in both numerator and denominator.

First we find the rational number 1/11 in decimal form.

\frac{1}{11}=0.0909090909..

11

1

=0.0909090909..

Now, \frac{1}{33}

33

1

is rewritten as

\frac{1}{33} = \frac{1}{3} \times \frac{1}{11}

33

1

=

3

1

×

11

1

=0.333333333.. \times 0.0909090909..=0.333333333..×0.0909090909..

=0.03030303030303….

Now, to write \frac{71}{33}

33

71

in recurring decimal form.

\frac{71}{33} = 71 \times \frac{1}{33}

33

71

=71×

33

1

=71 \times 0.03030303030303..=71×0.03030303030303..

=2.151515151515…

\frac{71}{33} =2.151515151515..

33

71

=2.151515151515.. "