Question

arrange 2/9,-1/2,13/63,-2/3 in ascending order​

Answer 1

Answer :- 13/26; 2/9; 2/3; 1/2

Step-by-step explanation:

LCM = 126

2/9 = 2×14/9×14 = 28/126

1/2 = 1×63/2×63 = 63/126

13/26 = 13×2/63×2 = 26/126

2/3 = 2×21/3×21 = 42/126

Ascending order is :- 26/126; 28/126; 42/126; 63/126.

Ascending order is :- 13/26; 2/9; 2/3; 1/2

Answer 2

The ascending order is as follows: $-\frac{2}{3}, -\frac{1}{2}, \frac{13}{63}, \frac{2}{9}$

Ascending order is the process of reordering and rearranging a set of numbers in its increasing order, that is, to sort it from the smallest to the largest number out of all the numbers in the given set.

The first number of a series that is in ascending order will be the smallest number while the last number of the lot will be largest one out of the entire set.

This means that this sorting process requires the comparison of each number with every other number present in the given set of numbers to be arranged.

In the given set of numbers there are four numbers in the form of fractions. So to arrange the numbers in ascending order involves taking each number and comparing if it is smaller than the others.

However, since the given numbers are in fractional form we need to convert them into decimals in order to make the process of ordering easier.

Decimal form of all the given fractions are given below:

$1)\;\frac{2}{9} =0.2222\\\\ \implies \frac{2}{9} \approx 0.22\\\\\\\ 2)\;-\frac{13}{63} =-0.206\\\\ \implies \frac{13}{63} \approx 0.21\\\\\\\ 3)\;-\frac{1}{2} =-0.50\\\\\\\ 4)\;-\frac{2}{3} =-0.666\\\\ \implies -\frac{2}{3} \approx-0.67$

Since, $\frac{2}{9},\frac{13}{63} ,-\frac{2}{3}$ give recurring decimals as results we can round it off to 2 decimal places.

So the set of numbers in decimal becomes:

$0.22,-0.50,0.21,-0.67$

The set consists of a mixture of negative as well as positive numbers. The negative numbers will be in the beginning of the ascending order series.

Out of  -0.50 and -0.67 we know that -0.67 is smaller than -0.50 because on the number line the negative values are in reverse. The greater the magnitude of the number the smaller it is since there is a negative number in-front of it.

And out of 0.21 and 0.22, 0.21 is the smallest so the ascending order will thus be in the order:

$-0.67,-0.50,0.21,0.22$

If we convert them into their respective fractions we get:

$-\frac{2}{3}, -\frac{1}{2}, \frac{13}{63}, \frac{2}{9}$

Thus, this is the ascending order of the given fractions.

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