Question

arrange the following numbers rational numbers in ascending order.
5/6, -4/3,9/-11,5/2
please answer ​

Answer 1

Answer:

If you know how to convert ratio to decimal, then it is very easy.

In decimal these numbers are:

0.8...,-1.1....,-0.8...,2.5

Now you can easily write them in ascending order.

-9/11, -4/3, 5/6,5/2

If you don't know how to convert ratio to decimal, then you have to make the denominator of all of them same and then put them in ascending order

Answer 2

$given \\ \frac{5}{6} \: | \: \frac{ - 4}{3} \: | \: \frac{9}{ - 11} \: | \: \frac{5}{2}$

To arrange these in ascending order (lowest to highest).

We can write 9/-11 as -9/11.

Now we will find the LCM of all denominators (because all are different).

LCM of 6, 3, 11, 2 = 66

so we will change all denominators into 66.

$\frac{5}{6} = \frac{5 \times 11}{6 \times 11} = \frac{55}{66} \\ \frac{ - 4}{3} = \frac{ - 4 \times 22}{3 \times 22} = \frac{ - 88}{66} \\ \frac{ - 9}{11} = \frac{ - 9 \times 6}{11 \times 6} = \frac{ - 54}{66} \\ \frac{5}{2} = \frac{5 \times 33}{2 \times 33} = \frac{165}{66}$

We can compare all numbers now.

$\frac{ - 88}{66} < \frac{ - 54}{66} < \frac{55}{66} < \frac{165}{66} \\ hence \\ \frac{ - 4}{3} < \frac{ - 9}{11} < \frac{5}{6} < \frac{5}{2}$

hope it helps.