Question

which of the two rational numbers is greater in the given pairs.
7/-9 or -5/8​

Answer 1

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QUESTION :- Which of the two rational numbers is greater in the given pairs $\frac{7}{-9}$ or $\frac{-5}{8}$ .

ANSWER :-

To make comparison between given fraction, we have to make denominator equal of given rational numbers.

→L.C.M. (Lowest Common Multiple) of 9 and 8 is 72.

$\frac{7}{ - 9}$and $\frac{ - 5}{8}$

$\frac{7}{ - 9} \times \frac{8}{8}$ and $\frac{ - 5}{8} \times \frac{9}{9}$

$\frac{56}{ - 72}$and $\frac{ - 45}{72}$

Now we can clearly see that $\frac{56}{-72}$ is smaller in the given pairs.

Answer 2

Explanation:

Solution:

The fraction can be expressed as

⇛$\frac{7 \times - 1}{ - 9 \times - 1} = \frac{ - 7}{9}$

The LCM of the denominators 9 and 8 is 72.

So, by multiplying with the denominator

We get,

⇛ $\frac{ - 7}{9} = \frac{ - 7 \times 8}{9 \times 8} = \frac{ - 56}{72}$

⇛ And,$\frac{ - 5}{8} = \frac{ - 5 \times 9}{8 \times 9} = \frac{ - 45}{72}$

⇛ Since, $\frac{ - 56}{72} < \frac{ - 45}{72} \: \: or \: \: \frac{ - 5}{8} > \frac{7}{ - 9}$